solve the inequality for y. -3y - 7 ≤ 2y + 8. simplify your answer as much as possible.

Explanation:

Step1: Move y - terms to one side

Add 3y to both sides: $-3y - 7+3y\leq2y + 8+3y$ $-7\leq5y + 8$

Step2: Isolate the term with y

Subtract 8 from both sides: $-7 - 8\leq5y+8 - 8$ $-15\leq5y$

Step3: Solve for y

Divide both sides by 5: $\frac{-15}{5}\leq\frac{5y}{5}$ $-3\leq y$

Answer:

$y\geq - 3$