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

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


Simplifying
-4(2y + -8) + -1y = -2(y + -2)

Reorder the terms:
-4(-8 + 2y) + -1y = -2(y + -2)
(-8 * -4 + 2y * -4) + -1y = -2(y + -2)
(32 + -8y) + -1y = -2(y + -2)

Combine like terms: -8y + -1y = -9y
32 + -9y = -2(y + -2)

Reorder the terms:
32 + -9y = -2(-2 + y)
32 + -9y = (-2 * -2 + y * -2)
32 + -9y = (4 + -2y)

Solving
32 + -9y = 4 + -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.
32 + -9y + 2y = 4 + -2y + 2y

Combine like terms: -9y + 2y = -7y
32 + -7y = 4 + -2y + 2y

Combine like terms: -2y + 2y = 0
32 + -7y = 4 + 0
32 + -7y = 4

Add '-32' to each side of the equation.
32 + -32 + -7y = 4 + -32

Combine like terms: 32 + -32 = 0
0 + -7y = 4 + -32
-7y = 4 + -32

Combine like terms: 4 + -32 = -28
-7y = -28

Divide each side by '-7'.
y = 4

Simplifying
y = 4

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