-2(2y-2)-y=-2(y-3)

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Solution for -2(2y-2)-y=-2(y-3) equation:


Simplifying
-2(2y + -2) + -1y = -2(y + -3)

Reorder the terms:
-2(-2 + 2y) + -1y = -2(y + -3)
(-2 * -2 + 2y * -2) + -1y = -2(y + -3)
(4 + -4y) + -1y = -2(y + -3)

Combine like terms: -4y + -1y = -5y
4 + -5y = -2(y + -3)

Reorder the terms:
4 + -5y = -2(-3 + y)
4 + -5y = (-3 * -2 + y * -2)
4 + -5y = (6 + -2y)

Solving
4 + -5y = 6 + -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.
4 + -5y + 2y = 6 + -2y + 2y

Combine like terms: -5y + 2y = -3y
4 + -3y = 6 + -2y + 2y

Combine like terms: -2y + 2y = 0
4 + -3y = 6 + 0
4 + -3y = 6

Add '-4' to each side of the equation.
4 + -4 + -3y = 6 + -4

Combine like terms: 4 + -4 = 0
0 + -3y = 6 + -4
-3y = 6 + -4

Combine like terms: 6 + -4 = 2
-3y = 2

Divide each side by '-3'.
y = -0.6666666667

Simplifying
y = -0.6666666667

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