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

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


Simplifying
2(2y + 2) + -1y = 2(8y + -8)

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

Combine like terms: 4y + -1y = 3y
4 + 3y = 2(8y + -8)

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

Solving
4 + 3y = -16 + 16y

Solving for variable 'y'.

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

Add '-16y' to each side of the equation.
4 + 3y + -16y = -16 + 16y + -16y

Combine like terms: 3y + -16y = -13y
4 + -13y = -16 + 16y + -16y

Combine like terms: 16y + -16y = 0
4 + -13y = -16 + 0
4 + -13y = -16

Add '-4' to each side of the equation.
4 + -4 + -13y = -16 + -4

Combine like terms: 4 + -4 = 0
0 + -13y = -16 + -4
-13y = -16 + -4

Combine like terms: -16 + -4 = -20
-13y = -20

Divide each side by '-13'.
y = 1.538461538

Simplifying
y = 1.538461538

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