There are plenty of universities that are affordable. For instance, City University of New York (CUNY) offers four year undergrad degrees for $6,730 a year [0]. You can get a room share in an outer borough for maybe 500 - 1.5k a month or Jersey for even less [1]. And this is one of the most expensive cities in the world. If you're smart, avoid unnecessary expenses, you can probably get by on 20k a year in expenses, which comes out to 26 hours a week at $15/hr, ignoring taxes. Taxes at about 15% at that low income means you'll probably want to earn closer to 25k to have 20k net which means 31 hours a week. But realistically you'll probably want to work full time or over time during the months school is not in session and closer to 20 hours a week at other times. Or try to find a job that pays more.
Don't know much about health insurance so that's also something you'll have to consider getting maybe through the school or some city program or just go without it.
Or just move to a more affordable city and probably cut everything above in half while hopefully only giving up a bit of the wage you'll earn
[0] https://www2.cuny.edu/financial-aid/tuition-and-college-cost...
[1] https://newyork.craigslist.org/d/rooms-shares/search/roo