Solve the inequality for y.

Question

- 3y-32≥4y+24
Simplify your answer as much as possible.

Answer 1

To solve the inequality for y, we need to isolate y on one side of the inequality sign.

Starting with the given inequality:
-3y - 32 ≥ 4y + 24

Adding 3y to both sides:
-32 ≥ 4y + 3y + 24

Combining like terms:
-32 ≥ 7y + 24

Subtracting 24 from both sides:
-32 - 24 ≥ 7y

Simplifying:
-56 ≥ 7y

Dividing both sides by 7 (and reversing the inequality sign since we are dividing by a negative number):
-8 ≥ y

Simplifying further:
y ≤ -8

So the solution to the inequality is y ≤ -8.