2(y-1)=y+5

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Solution for 2(y-1)=y+5 equation:


Simplifying
2(y + -1) = y + 5

Reorder the terms:
2(-1 + y) = y + 5
(-1 * 2 + y * 2) = y + 5
(-2 + 2y) = y + 5

Reorder the terms:
-2 + 2y = 5 + y

Solving
-2 + 2y = 5 + 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.
-2 + 2y + -1y = 5 + y + -1y

Combine like terms: 2y + -1y = 1y
-2 + 1y = 5 + y + -1y

Combine like terms: y + -1y = 0
-2 + 1y = 5 + 0
-2 + 1y = 5

Add '2' to each side of the equation.
-2 + 2 + 1y = 5 + 2

Combine like terms: -2 + 2 = 0
0 + 1y = 5 + 2
1y = 5 + 2

Combine like terms: 5 + 2 = 7
1y = 7

Divide each side by '1'.
y = 7

Simplifying
y = 7

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