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

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


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

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

Solving
2 + -2y = -2 + -1y

Solving for variable 'y'.

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

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

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

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

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

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

Combine like terms: -2 + -2 = -4
-1y = -4

Divide each side by '-1'.
y = 4

Simplifying
y = 4

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