Question

12(5 + 2y) = 4y - (6 - 9y)

Explanation:

Step1: Expand both sides

Left side: \(12(5 + 2y)=12\times5+12\times2y = 60 + 24y\)
Right side: \(4y-(6 - 9y)=4y - 6 + 9y=13y - 6\)

Step2: Rearrange terms

Bring all \(y\) terms to left and constants to right:
\(60 + 24y-13y=- 6\)
Simplify: \(60 + 11y=-6\)

Step3: Solve for y

Subtract 60 from both sides: \(11y=-6 - 60=-66\)
Divide by 11: \(y = \frac{-66}{11}=-6\)

Answer:

\(y=-6\)