3(y+3)=-9(y-1)-36

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Solution for 3(y+3)=-9(y-1)-36 equation: 


Simplifying
3(y + 3) = -9(y + -1) + -36

Reorder the terms:
3(3 + y) = -9(y + -1) + -36
(3 * 3 + y * 3) = -9(y + -1) + -36
(9 + 3y) = -9(y + -1) + -36

Reorder the terms:
9 + 3y = -9(-1 + y) + -36
9 + 3y = (-1 * -9 + y * -9) + -36
9 + 3y = (9 + -9y) + -36

Reorder the terms:
9 + 3y = 9 + -36 + -9y

Combine like terms: 9 + -36 = -27
9 + 3y = -27 + -9y

Solving
9 + 3y = -27 + -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 + 3y + 9y = -27 + -9y + 9y

Combine like terms: 3y + 9y = 12y
9 + 12y = -27 + -9y + 9y

Combine like terms: -9y + 9y = 0
9 + 12y = -27 + 0
9 + 12y = -27

Add '-9' to each side of the equation.
9 + -9 + 12y = -27 + -9

Combine like terms: 9 + -9 = 0
0 + 12y = -27 + -9
12y = -27 + -9

Combine like terms: -27 + -9 = -36
12y = -36

Divide each side by '12'.
y = -3

Simplifying
y = -3

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