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

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


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

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

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

Solving
8 + -4y = -8 + 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.
8 + -4y + -4y = -8 + 4y + -4y

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

Combine like terms: 4y + -4y = 0
8 + -8y = -8 + 0
8 + -8y = -8

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

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

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

Divide each side by '-8'.
y = 2

Simplifying
y = 2

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