Question

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

Explanation:

Step1: Add $9y$ to both sides

$6 - 9y + 9y > 30 - 5y + 9y$
$6 > 30 + 4y$

Step2: Subtract 30 from both sides

$6 - 30 > 30 + 4y - 30$
$-24 > 4y$

Step3: Divide by 4 on both sides

$\frac{-24}{4} > \frac{4y}{4}$
$-6 > y$

Step4: Rearrange inequality

$y < -6$

Answer:

$y < -6$