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

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


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

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

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

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

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

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

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

Combine like terms: -1y + y = 0
3y = 0

Divide each side by '3'.
y = 0

Simplifying
y = 0

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