17y≥–4(–4y–1)+15

Sure, let's solve the inequality step by step:

1. Distribute the -4 in the right side of the inequality: -4(-4y) + -4(-1) = 16y + 4
2. So, the inequality becomes: 17y ≥ 16y + 4 + 15
3. Simplify the right side: 17y ≥ 16y + 19
4. Subtract 16y from both sides to isolate y on one side: 17y - 16y ≥ 19
5. This simplifies to: y ≥ 19

So, the solution to the inequality is y ≥ 19.