-4+8=4(2y-2)-2(-16+8y)

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Solution for -4+8=4(2y-2)-2(-16+8y) equation:


Simplifying
-4 + 8 = 4(2y + -2) + -2(-16 + 8y)

Combine like terms: -4 + 8 = 4
4 = 4(2y + -2) + -2(-16 + 8y)

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

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

Combine like terms: -8 + 32 = 24
4 = 24 + 8y + -16y

Combine like terms: 8y + -16y = -8y
4 = 24 + -8y

Solving
4 = 24 + -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.
4 + 8y = 24 + -8y + 8y

Combine like terms: -8y + 8y = 0
4 + 8y = 24 + 0
4 + 8y = 24

Add '-4' to each side of the equation.
4 + -4 + 8y = 24 + -4

Combine like terms: 4 + -4 = 0
0 + 8y = 24 + -4
8y = 24 + -4

Combine like terms: 24 + -4 = 20
8y = 20

Divide each side by '8'.
y = 2.5

Simplifying
y = 2.5

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