Question

solve the inequality for y.
9y - 35 < -4(5 - 3y)
simplify your answer as much as possible.

Explanation:

Step1: Expand right-hand side

$9y - 35 < -20 + 12y$

Step2: Subtract $9y$ from both sides

$-35 < -20 + 3y$

Step3: Add 20 to both sides

$-15 < 3y$

Step4: Divide by 3 on both sides

$\frac{-15}{3} < \frac{3y}{3}$
$-5 < y$

Answer:

$y > -5$