-4(6y-6)-y=-2(y-3)

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Solution for -4(6y-6)-y=-2(y-3) equation:


Simplifying
-4(6y + -6) + -1y = -2(y + -3)

Reorder the terms:
-4(-6 + 6y) + -1y = -2(y + -3)
(-6 * -4 + 6y * -4) + -1y = -2(y + -3)
(24 + -24y) + -1y = -2(y + -3)

Combine like terms: -24y + -1y = -25y
24 + -25y = -2(y + -3)

Reorder the terms:
24 + -25y = -2(-3 + y)
24 + -25y = (-3 * -2 + y * -2)
24 + -25y = (6 + -2y)

Solving
24 + -25y = 6 + -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.
24 + -25y + 2y = 6 + -2y + 2y

Combine like terms: -25y + 2y = -23y
24 + -23y = 6 + -2y + 2y

Combine like terms: -2y + 2y = 0
24 + -23y = 6 + 0
24 + -23y = 6

Add '-24' to each side of the equation.
24 + -24 + -23y = 6 + -24

Combine like terms: 24 + -24 = 0
0 + -23y = 6 + -24
-23y = 6 + -24

Combine like terms: 6 + -24 = -18
-23y = -18

Divide each side by '-23'.
y = 0.7826086957

Simplifying
y = 0.7826086957

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