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

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


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

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

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

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

Remove parenthesis around (-8y)
8 + -4y = -8 + 8y + -2 * -8y

Multiply -2 * -8
8 + -4y = -8 + 8y + 16y

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

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

Solving for variable 'y'.

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

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

Combine like terms: -4y + -24y = -28y
8 + -28y = -8 + 24y + -24y

Combine like terms: 24y + -24y = 0
8 + -28y = -8 + 0
8 + -28y = -8

Add '-8' to each side of the equation.
8 + -8 + -28y = -8 + -8

Combine like terms: 8 + -8 = 0
0 + -28y = -8 + -8
-28y = -8 + -8

Combine like terms: -8 + -8 = -16
-28y = -16

Divide each side by '-28'.
y = 0.5714285714

Simplifying
y = 0.5714285714

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