-18 - 5y >= 52 -----> To solve this we just need to isolate y. Remember though that if you divide or multiply by a negative the inequality must be flipped.
-18 - 5y >= 52 ----> Add 18 to both sides
-5y >= 70 -----> Divide both sides by -5. The inequality will flip directions here because u decided by a negative.
y <= -14 which is answer choice d.
Hope this helps!