-3(4y-4)-y=-4(y-5)

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Solution for -3(4y-4)-y=-4(y-5) equation:


Simplifying
-3(4y + -4) + -1y = -4(y + -5)

Reorder the terms:
-3(-4 + 4y) + -1y = -4(y + -5)
(-4 * -3 + 4y * -3) + -1y = -4(y + -5)
(12 + -12y) + -1y = -4(y + -5)

Combine like terms: -12y + -1y = -13y
12 + -13y = -4(y + -5)

Reorder the terms:
12 + -13y = -4(-5 + y)
12 + -13y = (-5 * -4 + y * -4)
12 + -13y = (20 + -4y)

Solving
12 + -13y = 20 + -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 + -13y + 4y = 20 + -4y + 4y

Combine like terms: -13y + 4y = -9y
12 + -9y = 20 + -4y + 4y

Combine like terms: -4y + 4y = 0
12 + -9y = 20 + 0
12 + -9y = 20

Add '-12' to each side of the equation.
12 + -12 + -9y = 20 + -12

Combine like terms: 12 + -12 = 0
0 + -9y = 20 + -12
-9y = 20 + -12

Combine like terms: 20 + -12 = 8
-9y = 8

Divide each side by '-9'.
y = -0.8888888889

Simplifying
y = -0.8888888889

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