9(y-8)=5y-32

Solution for 9(y-8)=5y-32 equation:

Simplifying
9(y + -8) = 5y + -32

Reorder the terms:
9(-8 + y) = 5y + -32
(-8 * 9 + y * 9) = 5y + -32
(-72 + 9y) = 5y + -32

Reorder the terms:
-72 + 9y = -32 + 5y

Solving
-72 + 9y = -32 + 5y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-5y' to each side of the equation.
-72 + 9y + -5y = -32 + 5y + -5y

Combine like terms: 9y + -5y = 4y
-72 + 4y = -32 + 5y + -5y

Combine like terms: 5y + -5y = 0
-72 + 4y = -32 + 0
-72 + 4y = -32

Add '72' to each side of the equation.
-72 + 72 + 4y = -32 + 72

Combine like terms: -72 + 72 = 0
0 + 4y = -32 + 72
4y = -32 + 72

Combine like terms: -32 + 72 = 40
4y = 40

Divide each side by '4'.
y = 10

Simplifying
y = 10