3(3y+3)=-9(y-1)-108

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Solution for 3(3y+3)=-9(y-1)-108 equation:


Simplifying
3(3y + 3) = -9(y + -1) + -108

Reorder the terms:
3(3 + 3y) = -9(y + -1) + -108
(3 * 3 + 3y * 3) = -9(y + -1) + -108
(9 + 9y) = -9(y + -1) + -108

Reorder the terms:
9 + 9y = -9(-1 + y) + -108
9 + 9y = (-1 * -9 + y * -9) + -108
9 + 9y = (9 + -9y) + -108

Reorder the terms:
9 + 9y = 9 + -108 + -9y

Combine like terms: 9 + -108 = -99
9 + 9y = -99 + -9y

Solving
9 + 9y = -99 + -9y

Solving for variable 'y'.

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

Add '9y' to each side of the equation.
9 + 9y + 9y = -99 + -9y + 9y

Combine like terms: 9y + 9y = 18y
9 + 18y = -99 + -9y + 9y

Combine like terms: -9y + 9y = 0
9 + 18y = -99 + 0
9 + 18y = -99

Add '-9' to each side of the equation.
9 + -9 + 18y = -99 + -9

Combine like terms: 9 + -9 = 0
0 + 18y = -99 + -9
18y = -99 + -9

Combine like terms: -99 + -9 = -108
18y = -108

Divide each side by '18'.
y = -6

Simplifying
y = -6

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