10(2y+2)-y=-2(8y-8)

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Solution for 10(2y+2)-y=-2(8y-8) equation: 


Simplifying
10(2y + 2) + -1y = -2(8y + -8)

Reorder the terms:
10(2 + 2y) + -1y = -2(8y + -8)
(2 * 10 + 2y * 10) + -1y = -2(8y + -8)
(20 + 20y) + -1y = -2(8y + -8)

Combine like terms: 20y + -1y = 19y
20 + 19y = -2(8y + -8)

Reorder the terms:
20 + 19y = -2(-8 + 8y)
20 + 19y = (-8 * -2 + 8y * -2)
20 + 19y = (16 + -16y)

Solving
20 + 19y = 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.
20 + 19y + 16y = 16 + -16y + 16y

Combine like terms: 19y + 16y = 35y
20 + 35y = 16 + -16y + 16y

Combine like terms: -16y + 16y = 0
20 + 35y = 16 + 0
20 + 35y = 16

Add '-20' to each side of the equation.
20 + -20 + 35y = 16 + -20

Combine like terms: 20 + -20 = 0
0 + 35y = 16 + -20
35y = 16 + -20

Combine like terms: 16 + -20 = -4
35y = -4

Divide each side by '35'.
y = -0.1142857143

Simplifying
y = -0.1142857143

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