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

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


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

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

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

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

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

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

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

Solving
-4 + 4y = 4 + 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.
-4 + 4y + -6y = 4 + 6y + -6y

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

Combine like terms: 6y + -6y = 0
-4 + -2y = 4 + 0
-4 + -2y = 4

Add '4' to each side of the equation.
-4 + 4 + -2y = 4 + 4

Combine like terms: -4 + 4 = 0
0 + -2y = 4 + 4
-2y = 4 + 4

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

Divide each side by '-2'.
y = -4

Simplifying
y = -4

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