-2(2y-3)-y=-4(y-2)

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Solution for -2(2y-3)-y=-4(y-2) equation:


Simplifying
-2(2y + -3) + -1y = -4(y + -2)

Reorder the terms:
-2(-3 + 2y) + -1y = -4(y + -2)
(-3 * -2 + 2y * -2) + -1y = -4(y + -2)
(6 + -4y) + -1y = -4(y + -2)

Combine like terms: -4y + -1y = -5y
6 + -5y = -4(y + -2)

Reorder the terms:
6 + -5y = -4(-2 + y)
6 + -5y = (-2 * -4 + y * -4)
6 + -5y = (8 + -4y)

Solving
6 + -5y = 8 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
6 + -5y + 4y = 8 + -4y + 4y

Combine like terms: -5y + 4y = -1y
6 + -1y = 8 + -4y + 4y

Combine like terms: -4y + 4y = 0
6 + -1y = 8 + 0
6 + -1y = 8

Add '-6' to each side of the equation.
6 + -6 + -1y = 8 + -6

Combine like terms: 6 + -6 = 0
0 + -1y = 8 + -6
-1y = 8 + -6

Combine like terms: 8 + -6 = 2
-1y = 2

Divide each side by '-1'.
y = -2

Simplifying
y = -2

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