-2(-5y+8)-2y=2(y-9)-8

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Solution for -2(-5y+8)-2y=2(y-9)-8 equation: 


Simplifying
-2(-5y + 8) + -2y = 2(y + -9) + -8

Reorder the terms:
-2(8 + -5y) + -2y = 2(y + -9) + -8
(8 * -2 + -5y * -2) + -2y = 2(y + -9) + -8
(-16 + 10y) + -2y = 2(y + -9) + -8

Combine like terms: 10y + -2y = 8y
-16 + 8y = 2(y + -9) + -8

Reorder the terms:
-16 + 8y = 2(-9 + y) + -8
-16 + 8y = (-9 * 2 + y * 2) + -8
-16 + 8y = (-18 + 2y) + -8

Reorder the terms:
-16 + 8y = -18 + -8 + 2y

Combine like terms: -18 + -8 = -26
-16 + 8y = -26 + 2y

Solving
-16 + 8y = -26 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-16 + 8y + -2y = -26 + 2y + -2y

Combine like terms: 8y + -2y = 6y
-16 + 6y = -26 + 2y + -2y

Combine like terms: 2y + -2y = 0
-16 + 6y = -26 + 0
-16 + 6y = -26

Add '16' to each side of the equation.
-16 + 16 + 6y = -26 + 16

Combine like terms: -16 + 16 = 0
0 + 6y = -26 + 16
6y = -26 + 16

Combine like terms: -26 + 16 = -10
6y = -10

Divide each side by '6'.
y = -1.666666667

Simplifying
y = -1.666666667

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