-4y+8=4(2y-2)-2(-6+8y)

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Solution for -4y+8=4(2y-2)-2(-6+8y) equation: 


Simplifying
-4y + 8 = 4(2y + -2) + -2(-6 + 8y)

Reorder the terms:
8 + -4y = 4(2y + -2) + -2(-6 + 8y)

Reorder the terms:
8 + -4y = 4(-2 + 2y) + -2(-6 + 8y)
8 + -4y = (-2 * 4 + 2y * 4) + -2(-6 + 8y)
8 + -4y = (-8 + 8y) + -2(-6 + 8y)
8 + -4y = -8 + 8y + (-6 * -2 + 8y * -2)
8 + -4y = -8 + 8y + (12 + -16y)

Reorder the terms:
8 + -4y = -8 + 12 + 8y + -16y

Combine like terms: -8 + 12 = 4
8 + -4y = 4 + 8y + -16y

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

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

Solving for variable 'y'.

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

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

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

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

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

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

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

Divide each side by '4'.
y = -1

Simplifying
y = -1

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