Question

solve for y.
6(y - 4) - 6 = -7(-4y + 6) - 6y
simplify your answer as much as possible.
y =

Explanation:

Step1: Expand both sides

Left side: \(6(y - 4)-6 = 6y-24 - 6=6y - 30\)
Right side: \(-7(-4y + 6)-6y=28y-42 - 6y = 22y-42\)

Step2: Set up equation

We have \(6y - 30=22y - 42\)

Step3: Move terms with y to one side

Subtract \(6y\) from both sides: \(-30 = 16y-42\)

Step4: Solve for y

Add 42 to both sides: \(12 = 16y\)
Divide both sides by 16: \(y=\frac{12}{16}=\frac{3}{4}\)

Answer:

\(y = \frac{3}{4}\)