Welcome to the forums!
I agree with everything OD said! Even if you don't have time to exercise, if you control your calorie intake, you will loose weight. Counting calories isn't as hard as it sounds (and people make it out to be), and there's tons of yummy low-calorie stuff out there to eat.
That's awesome that you have a supportive boyfriend behind you. I know my fiance has been an integral part of my weightloss. Poor guy puts up with so much sometimes.
I'm 22 as well, and I've always worked while going to school (except this semester

) so I know how hard it is to find time for anything other than work and school.
I always yo-yoed on diets when I would try them, but I've found new dedication this time (this forum has really helped!), and feel so much better for it. Dedicate yourself to calorie counting, keep a journal, empty your place of all the bad foods, and watch the weight leave!
Just let us know when you need motivation!!