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

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


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

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

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

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

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

Reorder the terms:
-8 + 4y = 8 + 8y + -2y

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

Solving
-8 + 4y = 8 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-8 + 4y + -6y = 8 + 6y + -6y

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

Combine like terms: 6y + -6y = 0
-8 + -2y = 8 + 0
-8 + -2y = 8

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

Combine like terms: -8 + 8 = 0
0 + -2y = 8 + 8
-2y = 8 + 8

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

Divide each side by '-2'.
y = -8

Simplifying
y = -8

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