-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!
[tex]-18-5y\geq52\qquad|\text{add 18 to both sides}\\\\-5y\geq70\qquad|\text{change the signs}\\\\5y\leq-70\qquad|\text{divide both sides by 5}\\\\y\leq-14\\\\Answer:\ \boxed{d.\ y\leq-14}[/tex]