2(y+8)=9y-12

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Solution for 2(y+8)=9y-12 equation: 


Simplifying
2(y + 8) = 9y + -12

Reorder the terms:
2(8 + y) = 9y + -12
(8 * 2 + y * 2) = 9y + -12
(16 + 2y) = 9y + -12

Reorder the terms:
16 + 2y = -12 + 9y

Solving
16 + 2y = -12 + 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.
16 + 2y + -9y = -12 + 9y + -9y

Combine like terms: 2y + -9y = -7y
16 + -7y = -12 + 9y + -9y

Combine like terms: 9y + -9y = 0
16 + -7y = -12 + 0
16 + -7y = -12

Add '-16' to each side of the equation.
16 + -16 + -7y = -12 + -16

Combine like terms: 16 + -16 = 0
0 + -7y = -12 + -16
-7y = -12 + -16

Combine like terms: -12 + -16 = -28
-7y = -28

Divide each side by '-7'.
y = 4

Simplifying
y = 4

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