Making the extra $4,000/year is very doable. Usually work study will limit how much they will give you per year. Usually around $3,000/year.
My son decided to get a job through University of Michigan (like extremely easy to do),since he wanted something fun and not engineering. He is a ref /umpire for flag football and softball and plays both also. So he didn’t get a job through work study per se.
He makes something like $9.20 /hour but let’s just say $9.00 x 10 hours /week /6 months is $2160.00. This is just an example. He actually works more when he can and makes closer to $4,000/year at school. I think the dining hall actually pays like $11.50/hour.
The jobs whether school or work study are very lenient on decreasing hours etc around tests BTW.
Couple that with any summer job. Also keep in mind there are opportunities for stipends during the year /summer for research and other things. My son was paid a small stipend during the summer through Michigan for a organization he help start and worked on a project and was paid for it.
Pm me if you want an explanation of that.