Question

solve the linear inequality for y. write your answer in inequality notation.
-(4y - 9) - 9 > 14y - 36

Explanation:

Step1: Expand the left-hand side

$-4y + 9 - 9 > 14y - 36$

Step2: Simplify constants on left

$-4y > 14y - 36$

Step3: Subtract $14y$ from both sides

$-4y - 14y > -36$

Step4: Combine like terms

$-18y > -36$

Step5: Divide by -18, reverse inequality

$y < \frac{-36}{-18}$

Step6: Simplify the right-hand side

$y < 2$

Answer:

$y < 2$