-2(3y-6)-y=-3(y-4)

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Solution for -2(3y-6)-y=-3(y-4) equation:


Simplifying
-2(3y + -6) + -1y = -3(y + -4)

Reorder the terms:
-2(-6 + 3y) + -1y = -3(y + -4)
(-6 * -2 + 3y * -2) + -1y = -3(y + -4)
(12 + -6y) + -1y = -3(y + -4)

Combine like terms: -6y + -1y = -7y
12 + -7y = -3(y + -4)

Reorder the terms:
12 + -7y = -3(-4 + y)
12 + -7y = (-4 * -3 + y * -3)
12 + -7y = (12 + -3y)

Add '-12' to each side of the equation.
12 + -12 + -7y = 12 + -12 + -3y

Combine like terms: 12 + -12 = 0
0 + -7y = 12 + -12 + -3y
-7y = 12 + -12 + -3y

Combine like terms: 12 + -12 = 0
-7y = 0 + -3y
-7y = -3y

Solving
-7y = -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
-7y + 3y = -3y + 3y

Combine like terms: -7y + 3y = -4y
-4y = -3y + 3y

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

Divide each side by '-4'.
y = 0

Simplifying
y = 0

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