-3(4y-4)-y=-2(y-5)

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Solution for -3(4y-4)-y=-2(y-5) equation:


Simplifying
-3(4y + -4) + -1y = -2(y + -5)

Reorder the terms:
-3(-4 + 4y) + -1y = -2(y + -5)
(-4 * -3 + 4y * -3) + -1y = -2(y + -5)
(12 + -12y) + -1y = -2(y + -5)

Combine like terms: -12y + -1y = -13y
12 + -13y = -2(y + -5)

Reorder the terms:
12 + -13y = -2(-5 + y)
12 + -13y = (-5 * -2 + y * -2)
12 + -13y = (10 + -2y)

Solving
12 + -13y = 10 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
12 + -13y + 2y = 10 + -2y + 2y

Combine like terms: -13y + 2y = -11y
12 + -11y = 10 + -2y + 2y

Combine like terms: -2y + 2y = 0
12 + -11y = 10 + 0
12 + -11y = 10

Add '-12' to each side of the equation.
12 + -12 + -11y = 10 + -12

Combine like terms: 12 + -12 = 0
0 + -11y = 10 + -12
-11y = 10 + -12

Combine like terms: 10 + -12 = -2
-11y = -2

Divide each side by '-11'.
y = 0.1818181818

Simplifying
y = 0.1818181818

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