-4y+8=4(2y-3)-2(-16+8y)

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Solution for -4y+8=4(2y-3)-2(-16+8y) equation: 


Simplifying
-4y + 8 = 4(2y + -3) + -2(-16 + 8y)

Reorder the terms:
8 + -4y = 4(2y + -3) + -2(-16 + 8y)

Reorder the terms:
8 + -4y = 4(-3 + 2y) + -2(-16 + 8y)
8 + -4y = (-3 * 4 + 2y * 4) + -2(-16 + 8y)
8 + -4y = (-12 + 8y) + -2(-16 + 8y)
8 + -4y = -12 + 8y + (-16 * -2 + 8y * -2)
8 + -4y = -12 + 8y + (32 + -16y)

Reorder the terms:
8 + -4y = -12 + 32 + 8y + -16y

Combine like terms: -12 + 32 = 20
8 + -4y = 20 + 8y + -16y

Combine like terms: 8y + -16y = -8y
8 + -4y = 20 + -8y

Solving
8 + -4y = 20 + -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 = 20 + -8y + 8y

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

Combine like terms: -8y + 8y = 0
8 + 4y = 20 + 0
8 + 4y = 20

Add '-8' to each side of the equation.
8 + -8 + 4y = 20 + -8

Combine like terms: 8 + -8 = 0
0 + 4y = 20 + -8
4y = 20 + -8

Combine like terms: 20 + -8 = 12
4y = 12

Divide each side by '4'.
y = 3

Simplifying
y = 3

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