Answer
y = [-1,2]
Work Step by Step
$-1 \leq \frac{5y+2}{3} \leq 4$
1. Separate into two inequalities:
$\frac{5y+2}{3} \geq -1$
$\frac{5y+2}{3} \leq 4$
2. Solve the inequalities:
$\frac{5y+2}{3} \geq -1$
$\frac{5y+2}{3} \leq 4$
3. Find the intersection to get your answer:
$y = [-1,2]$
