When I first moved out on my own, my salary was ~$35K and my rent was $725/mo. So, a bit more money than what you’re working with, LW, and slightly cheaper rent. It was rough! Rent was my largest monthly expense, but on top of that I had pay for utilities, groceries, pesky student loan payments, etc. If my dad hadn’t been helping me pay for my car at the time — a privilege I know many people do not have — I would’ve been living paycheck to paycheck.
So yeah, viable solutions include: supplementing your income with a second job, finding a higher-paying job, getting a new roommate, or finding a cheaper place to live alone.