2(y-4)=y+2

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


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

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

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

Solving
-8 + 2y = 2 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-8 + 2y + -1y = 2 + y + -1y

Combine like terms: 2y + -1y = 1y
-8 + 1y = 2 + y + -1y

Combine like terms: y + -1y = 0
-8 + 1y = 2 + 0
-8 + 1y = 2

Add '8' to each side of the equation.
-8 + 8 + 1y = 2 + 8

Combine like terms: -8 + 8 = 0
0 + 1y = 2 + 8
1y = 2 + 8

Combine like terms: 2 + 8 = 10
1y = 10

Divide each side by '1'.
y = 10

Simplifying
y = 10

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