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

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


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

Reorder the terms:
-3(-6 + 3y) + -1y = -3(y + -4)
(-6 * -3 + 3y * -3) + -1y = -3(y + -4)
(18 + -9y) + -1y = -3(y + -4)

Combine like terms: -9y + -1y = -10y
18 + -10y = -3(y + -4)

Reorder the terms:
18 + -10y = -3(-4 + y)
18 + -10y = (-4 * -3 + y * -3)
18 + -10y = (12 + -3y)

Solving
18 + -10y = 12 + -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 + -10y + 3y = 12 + -3y + 3y

Combine like terms: -10y + 3y = -7y
18 + -7y = 12 + -3y + 3y

Combine like terms: -3y + 3y = 0
18 + -7y = 12 + 0
18 + -7y = 12

Add '-18' to each side of the equation.
18 + -18 + -7y = 12 + -18

Combine like terms: 18 + -18 = 0
0 + -7y = 12 + -18
-7y = 12 + -18

Combine like terms: 12 + -18 = -6
-7y = -6

Divide each side by '-7'.
y = 0.8571428571

Simplifying
y = 0.8571428571

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