Question

solve the inequality for $y$.
$5y - 6 \leq 9y - 30$
simplify your answer as much as possible.

Explanation:

Step1: Subtract $5y$ from both sides

$5y - 6 - 5y \leq 9y - 30 - 5y$
$-6 \leq 4y - 30$

Step2: Add 30 to both sides

$-6 + 30 \leq 4y - 30 + 30$
$24 \leq 4y$

Step3: Divide by 4 on both sides

$\frac{24}{4} \leq \frac{4y}{4}$
$6 \leq y$

Answer:

$y \geq 6$