2y+12=9(y-1)

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Solution for 2y+12=9(y-1) equation:


Simplifying
2y + 12 = 9(y + -1)

Reorder the terms:
12 + 2y = 9(y + -1)

Reorder the terms:
12 + 2y = 9(-1 + y)
12 + 2y = (-1 * 9 + y * 9)
12 + 2y = (-9 + 9y)

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

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

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

Add '-12' to each side of the equation.
12 + -12 + -7y = -9 + -12

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

Combine like terms: -9 + -12 = -21
-7y = -21

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

Simplifying
y = 3

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