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

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


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

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

Combine like terms: -12y + -1y = -13y
12 + -13y = -3(y + -5)

Reorder the terms:
12 + -13y = -3(-5 + y)
12 + -13y = (-5 * -3 + y * -3)
12 + -13y = (15 + -3y)

Solving
12 + -13y = 15 + -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.
12 + -13y + 3y = 15 + -3y + 3y

Combine like terms: -13y + 3y = -10y
12 + -10y = 15 + -3y + 3y

Combine like terms: -3y + 3y = 0
12 + -10y = 15 + 0
12 + -10y = 15

Add '-12' to each side of the equation.
12 + -12 + -10y = 15 + -12

Combine like terms: 12 + -12 = 0
0 + -10y = 15 + -12
-10y = 15 + -12

Combine like terms: 15 + -12 = 3
-10y = 3

Divide each side by '-10'.
y = -0.3

Simplifying
y = -0.3

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