my name is ed said:
Ok, theres a gym two stories down in my building available to me. They have some machines down there like an elliptical machine, two swiss balls, a treadmill, some free weights and some machines that I dont really know what to call. Well, I live on my own so my diet consists of sandwhiches, migas, some subway, ramen noodles, and I go out pretty frequent so a lot of crap. On a normal day it go like something like this: breakfast - cereal, lunch - migas, dinner - sandwhich and chips and maybe at night Ill have a soda or two.
Since your main goal is weight lose, and not muscular strength, I'd say a focus on cardio would be good for you with some weight lifting to supplement this process. If you could figure out if there's a squat rack/cage in the gym in your building, that'd be pretty useful for your weightlifting portion. The dumbbells are useful, though!
Here's a rough routine you could follow, adding or removing things as you see fit/enjoyable. For cardio, you could either try HIIT, or regular long-distance cardio. I'd honestly recommend you try both and see which you enjoy more; HIIT is generally better for maintaining muscle mass, but since you're not as concerned with muscular development, long distance is a fine alternative for you.
Day 1 - Cardio
20 minute jog (treadmill or outdoors); try to keep up a pace that is challenging to you.
OR
10 minutes of HIIT running (30 sec jog/walk, 30 sec sprint).
Day 2 - Rest
Day 3 - Lifting
3x5 Squats
3x8 (each arm) dumbbell curls
3x10 leg lifts
3x8 bent-over dumbbell rows
3x5 bench press (if no barbell is available, dumbbells will work)
Day 4 - Rest
Day 5 - Cardio
Repeat day 1.
Day 6 - Rest
Day 7 - Rest
Or, if you feel up to it, start back at Day 1 here (so basically, working out consistently every other day instead of taking an entire weekend off).
There's a lot of room to adjust this routine, and you should really work on figuring out what works for you and what doesn't. If you do long distance cardio, start with 20 minutes and slowly work it up to a good 40+ at a solid pace. If you do HIIT, 10 minutes might be rough to start, but do what you can, eventually trying to work to around 10 or 15 minutes max (more than 15 minutes, and you aren't running fast enough). Alternatively, you can do HIIT on stairs (running up them, then walking down; make sure you have good shoes and socks for this though!), or even swimming if you have a nearby pool.
If there is no squat rack available in your gym, let us know and there's alternatives with dumbbells that can work, especially as you're just starting to get into it.
Diet-wise, it seems like you're pretty busy and time constrained, but there are some things you can do that don't take much time that can be prepared ahead of time. For breakfast, if you like eggs at all, try to hardboil some eggs on the weekends to have with your breakfast. Good protein, easy to prepare, and they'll last for the duration of a week worth of breakfasts.
I'd suggest to cut back on some of the crap foods too, but that's easier said than done. Try to get more water, either with meals or just sip on a bottle throughout the day at your convenience. Try to cut back from 2 sodas to 1 soda a night. If you want to be a real badass about it, cut out soda cold turkey and you will get these awesome headaches for a few days while your body adjusts (at least, that's what happened to me from personal experience).
Ramen is a sodium loaded mother fucker, but it tastes great, is easy to prepare, and is cheaper than dirt. It's pure evil genius, really. Try replacing one or two Ramen meals a week with some fresh deli-sliced lean turkey or chicken, or better yet, some good canned tuna. A can or two of cheap tuna can be combined with a hardboiled egg and some light mayonnaise into tuna salad, and that is damn good (high protein, low fat, low sodium, relatively cheap, easy to prepare and keeps for about a week or more).
It's a shit ton to take in here, but don't get overwhelmed. Start with small changes and work your way into things. As always, there's a lot of good advice from others here on GAF, so if something I say sounds wrong or needs elaboration, ask away!