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

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


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

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

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

Reorder the terms:
12 + -7y = -4(-4 + y)
12 + -7y = (-4 * -4 + y * -4)
12 + -7y = (16 + -4y)

Solving
12 + -7y = 16 + -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.
12 + -7y + 4y = 16 + -4y + 4y

Combine like terms: -7y + 4y = -3y
12 + -3y = 16 + -4y + 4y

Combine like terms: -4y + 4y = 0
12 + -3y = 16 + 0
12 + -3y = 16

Add '-12' to each side of the equation.
12 + -12 + -3y = 16 + -12

Combine like terms: 12 + -12 = 0
0 + -3y = 16 + -12
-3y = 16 + -12

Combine like terms: 16 + -12 = 4
-3y = 4

Divide each side by '-3'.
y = -1.333333333

Simplifying
y = -1.333333333

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