4(2y-2)=-2y+32

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Solution for 4(2y-2)=-2y+32 equation:


Simplifying
4(2y + -2) = -2y + 32

Reorder the terms:
4(-2 + 2y) = -2y + 32
(-2 * 4 + 2y * 4) = -2y + 32
(-8 + 8y) = -2y + 32

Reorder the terms:
-8 + 8y = 32 + -2y

Solving
-8 + 8y = 32 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-8 + 8y + 2y = 32 + -2y + 2y

Combine like terms: 8y + 2y = 10y
-8 + 10y = 32 + -2y + 2y

Combine like terms: -2y + 2y = 0
-8 + 10y = 32 + 0
-8 + 10y = 32

Add '8' to each side of the equation.
-8 + 8 + 10y = 32 + 8

Combine like terms: -8 + 8 = 0
0 + 10y = 32 + 8
10y = 32 + 8

Combine like terms: 32 + 8 = 40
10y = 40

Divide each side by '10'.
y = 4

Simplifying
y = 4

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