-5(6y-6)-y=-2(y-4)

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Solution for -5(6y-6)-y=-2(y-4) equation: 


Simplifying
-5(6y + -6) + -1y = -2(y + -4)

Reorder the terms:
-5(-6 + 6y) + -1y = -2(y + -4)
(-6 * -5 + 6y * -5) + -1y = -2(y + -4)
(30 + -30y) + -1y = -2(y + -4)

Combine like terms: -30y + -1y = -31y
30 + -31y = -2(y + -4)

Reorder the terms:
30 + -31y = -2(-4 + y)
30 + -31y = (-4 * -2 + y * -2)
30 + -31y = (8 + -2y)

Solving
30 + -31y = 8 + -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.
30 + -31y + 2y = 8 + -2y + 2y

Combine like terms: -31y + 2y = -29y
30 + -29y = 8 + -2y + 2y

Combine like terms: -2y + 2y = 0
30 + -29y = 8 + 0
30 + -29y = 8

Add '-30' to each side of the equation.
30 + -30 + -29y = 8 + -30

Combine like terms: 30 + -30 = 0
0 + -29y = 8 + -30
-29y = 8 + -30

Combine like terms: 8 + -30 = -22
-29y = -22

Divide each side by '-29'.
y = 0.7586206897

Simplifying
y = 0.7586206897

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