-2(2y-4)-y=2(y-2)

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Solution for -2(2y-4)-y=2(y-2) equation:


Simplifying
-2(2y + -4) + -1y = 2(y + -2)

Reorder the terms:
-2(-4 + 2y) + -1y = 2(y + -2)
(-4 * -2 + 2y * -2) + -1y = 2(y + -2)
(8 + -4y) + -1y = 2(y + -2)

Combine like terms: -4y + -1y = -5y
8 + -5y = 2(y + -2)

Reorder the terms:
8 + -5y = 2(-2 + y)
8 + -5y = (-2 * 2 + y * 2)
8 + -5y = (-4 + 2y)

Solving
8 + -5y = -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.
8 + -5y + -2y = -4 + 2y + -2y

Combine like terms: -5y + -2y = -7y
8 + -7y = -4 + 2y + -2y

Combine like terms: 2y + -2y = 0
8 + -7y = -4 + 0
8 + -7y = -4

Add '-8' to each side of the equation.
8 + -8 + -7y = -4 + -8

Combine like terms: 8 + -8 = 0
0 + -7y = -4 + -8
-7y = -4 + -8

Combine like terms: -4 + -8 = -12
-7y = -12

Divide each side by '-7'.
y = 1.714285714

Simplifying
y = 1.714285714

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