-2(6y-5)+2y=2(y+8)

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Solution for -2(6y-5)+2y=2(y+8) equation: 


Simplifying
-2(6y + -5) + 2y = 2(y + 8)

Reorder the terms:
-2(-5 + 6y) + 2y = 2(y + 8)
(-5 * -2 + 6y * -2) + 2y = 2(y + 8)
(10 + -12y) + 2y = 2(y + 8)

Combine like terms: -12y + 2y = -10y
10 + -10y = 2(y + 8)

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

Solving
10 + -10y = 16 + 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.
10 + -10y + -2y = 16 + 2y + -2y

Combine like terms: -10y + -2y = -12y
10 + -12y = 16 + 2y + -2y

Combine like terms: 2y + -2y = 0
10 + -12y = 16 + 0
10 + -12y = 16

Add '-10' to each side of the equation.
10 + -10 + -12y = 16 + -10

Combine like terms: 10 + -10 = 0
0 + -12y = 16 + -10
-12y = 16 + -10

Combine like terms: 16 + -10 = 6
-12y = 6

Divide each side by '-12'.
y = -0.5

Simplifying
y = -0.5

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