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

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


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

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

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

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

Combine like terms: -9 + -36 = -45
-9 + -9y = -45 + 3y

Solving
-9 + -9y = -45 + 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.
-9 + -9y + -3y = -45 + 3y + -3y

Combine like terms: -9y + -3y = -12y
-9 + -12y = -45 + 3y + -3y

Combine like terms: 3y + -3y = 0
-9 + -12y = -45 + 0
-9 + -12y = -45

Add '9' to each side of the equation.
-9 + 9 + -12y = -45 + 9

Combine like terms: -9 + 9 = 0
0 + -12y = -45 + 9
-12y = -45 + 9

Combine like terms: -45 + 9 = -36
-12y = -36

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

Simplifying
y = 3

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