y+1=-2(y-2)

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


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

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

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

Solving
1 + y = 4 + -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.
1 + y + 2y = 4 + -2y + 2y

Combine like terms: y + 2y = 3y
1 + 3y = 4 + -2y + 2y

Combine like terms: -2y + 2y = 0
1 + 3y = 4 + 0
1 + 3y = 4

Add '-1' to each side of the equation.
1 + -1 + 3y = 4 + -1

Combine like terms: 1 + -1 = 0
0 + 3y = 4 + -1
3y = 4 + -1

Combine like terms: 4 + -1 = 3
3y = 3

Divide each side by '3'.
y = 1

Simplifying
y = 1

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