2(4y-8)=4y-32

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Solution for 2(4y-8)=4y-32 equation: 


Simplifying
2(4y + -8) = 4y + -32

Reorder the terms:
2(-8 + 4y) = 4y + -32
(-8 * 2 + 4y * 2) = 4y + -32
(-16 + 8y) = 4y + -32

Reorder the terms:
-16 + 8y = -32 + 4y

Solving
-16 + 8y = -32 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-16 + 8y + -4y = -32 + 4y + -4y

Combine like terms: 8y + -4y = 4y
-16 + 4y = -32 + 4y + -4y

Combine like terms: 4y + -4y = 0
-16 + 4y = -32 + 0
-16 + 4y = -32

Add '16' to each side of the equation.
-16 + 16 + 4y = -32 + 16

Combine like terms: -16 + 16 = 0
0 + 4y = -32 + 16
4y = -32 + 16

Combine like terms: -32 + 16 = -16
4y = -16

Divide each side by '4'.
y = -4

Simplifying
y = -4

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