9(y+3)=2y-36

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Solution for 9(y+3)=2y-36 equation:


Simplifying
9(y + 3) = 2y + -36

Reorder the terms:
9(3 + y) = 2y + -36
(3 * 9 + y * 9) = 2y + -36
(27 + 9y) = 2y + -36

Reorder the terms:
27 + 9y = -36 + 2y

Solving
27 + 9y = -36 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
27 + 9y + -2y = -36 + 2y + -2y

Combine like terms: 9y + -2y = 7y
27 + 7y = -36 + 2y + -2y

Combine like terms: 2y + -2y = 0
27 + 7y = -36 + 0
27 + 7y = -36

Add '-27' to each side of the equation.
27 + -27 + 7y = -36 + -27

Combine like terms: 27 + -27 = 0
0 + 7y = -36 + -27
7y = -36 + -27

Combine like terms: -36 + -27 = -63
7y = -63

Divide each side by '7'.
y = -9

Simplifying
y = -9

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