4(y-1)=12-2(2y-2)

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Solution for 4(y-1)=12-2(2y-2) equation:


Simplifying
4(y + -1) = 12 + -2(2y + -2)

Reorder the terms:
4(-1 + y) = 12 + -2(2y + -2)
(-1 * 4 + y * 4) = 12 + -2(2y + -2)
(-4 + 4y) = 12 + -2(2y + -2)

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

Combine like terms: 12 + 4 = 16
-4 + 4y = 16 + -4y

Solving
-4 + 4y = 16 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
-4 + 4y + 4y = 16 + -4y + 4y

Combine like terms: 4y + 4y = 8y
-4 + 8y = 16 + -4y + 4y

Combine like terms: -4y + 4y = 0
-4 + 8y = 16 + 0
-4 + 8y = 16

Add '4' to each side of the equation.
-4 + 4 + 8y = 16 + 4

Combine like terms: -4 + 4 = 0
0 + 8y = 16 + 4
8y = 16 + 4

Combine like terms: 16 + 4 = 20
8y = 20

Divide each side by '8'.
y = 2.5

Simplifying
y = 2.5

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