2(y+9)=5y-12

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Solution for 2(y+9)=5y-12 equation: 


Simplifying
2(y + 9) = 5y + -12

Reorder the terms:
2(9 + y) = 5y + -12
(9 * 2 + y * 2) = 5y + -12
(18 + 2y) = 5y + -12

Reorder the terms:
18 + 2y = -12 + 5y

Solving
18 + 2y = -12 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
18 + 2y + -5y = -12 + 5y + -5y

Combine like terms: 2y + -5y = -3y
18 + -3y = -12 + 5y + -5y

Combine like terms: 5y + -5y = 0
18 + -3y = -12 + 0
18 + -3y = -12

Add '-18' to each side of the equation.
18 + -18 + -3y = -12 + -18

Combine like terms: 18 + -18 = 0
0 + -3y = -12 + -18
-3y = -12 + -18

Combine like terms: -12 + -18 = -30
-3y = -30

Divide each side by '-3'.
y = 10

Simplifying
y = 10

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