2(y+6)=5y-9

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Solution for 2(y+6)=5y-9 equation: 


Simplifying
2(y + 6) = 5y + -9

Reorder the terms:
2(6 + y) = 5y + -9
(6 * 2 + y * 2) = 5y + -9
(12 + 2y) = 5y + -9

Reorder the terms:
12 + 2y = -9 + 5y

Solving
12 + 2y = -9 + 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.
12 + 2y + -5y = -9 + 5y + -5y

Combine like terms: 2y + -5y = -3y
12 + -3y = -9 + 5y + -5y

Combine like terms: 5y + -5y = 0
12 + -3y = -9 + 0
12 + -3y = -9

Add '-12' to each side of the equation.
12 + -12 + -3y = -9 + -12

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

Combine like terms: -9 + -12 = -21
-3y = -21

Divide each side by '-3'.
y = 7

Simplifying
y = 7

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