8+2(2y-2)=-2(6y-4)+2y

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Solution for 8+2(2y-2)=-2(6y-4)+2y equation: 


Simplifying
8 + 2(2y + -2) = -2(6y + -4) + 2y

Reorder the terms:
8 + 2(-2 + 2y) = -2(6y + -4) + 2y
8 + (-2 * 2 + 2y * 2) = -2(6y + -4) + 2y
8 + (-4 + 4y) = -2(6y + -4) + 2y

Combine like terms: 8 + -4 = 4
4 + 4y = -2(6y + -4) + 2y

Reorder the terms:
4 + 4y = -2(-4 + 6y) + 2y
4 + 4y = (-4 * -2 + 6y * -2) + 2y
4 + 4y = (8 + -12y) + 2y

Combine like terms: -12y + 2y = -10y
4 + 4y = 8 + -10y

Solving
4 + 4y = 8 + -10y

Solving for variable 'y'.

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

Add '10y' to each side of the equation.
4 + 4y + 10y = 8 + -10y + 10y

Combine like terms: 4y + 10y = 14y
4 + 14y = 8 + -10y + 10y

Combine like terms: -10y + 10y = 0
4 + 14y = 8 + 0
4 + 14y = 8

Add '-4' to each side of the equation.
4 + -4 + 14y = 8 + -4

Combine like terms: 4 + -4 = 0
0 + 14y = 8 + -4
14y = 8 + -4

Combine like terms: 8 + -4 = 4
14y = 4

Divide each side by '14'.
y = 0.2857142857

Simplifying
y = 0.2857142857

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