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

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


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

Reorder the terms:
-3(-6 + 6y) + -1y = -3(y + -2)
(-6 * -3 + 6y * -3) + -1y = -3(y + -2)
(18 + -18y) + -1y = -3(y + -2)

Combine like terms: -18y + -1y = -19y
18 + -19y = -3(y + -2)

Reorder the terms:
18 + -19y = -3(-2 + y)
18 + -19y = (-2 * -3 + y * -3)
18 + -19y = (6 + -3y)

Solving
18 + -19y = 6 + -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.
18 + -19y + 3y = 6 + -3y + 3y

Combine like terms: -19y + 3y = -16y
18 + -16y = 6 + -3y + 3y

Combine like terms: -3y + 3y = 0
18 + -16y = 6 + 0
18 + -16y = 6

Add '-18' to each side of the equation.
18 + -18 + -16y = 6 + -18

Combine like terms: 18 + -18 = 0
0 + -16y = 6 + -18
-16y = 6 + -18

Combine like terms: 6 + -18 = -12
-16y = -12

Divide each side by '-16'.
y = 0.75

Simplifying
y = 0.75

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