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

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


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

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

Remove parenthesis around (2 + y)
2 + y + -1y = 2(y + -1) + 5

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

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

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

Combine like terms: -2 + 5 = 3
2 = 3 + 2y

Solving
2 = 3 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
2 + -2y = 3 + 2y + -2y

Combine like terms: 2y + -2y = 0
2 + -2y = 3 + 0
2 + -2y = 3

Add '-2' to each side of the equation.
2 + -2 + -2y = 3 + -2

Combine like terms: 2 + -2 = 0
0 + -2y = 3 + -2
-2y = 3 + -2

Combine like terms: 3 + -2 = 1
-2y = 1

Divide each side by '-2'.
y = -0.5

Simplifying
y = -0.5

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