2y+12=5(y-3)

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Solution for 2y+12=5(y-3) equation: 


Simplifying
2y + 12 = 5(y + -3)

Reorder the terms:
12 + 2y = 5(y + -3)

Reorder the terms:
12 + 2y = 5(-3 + y)
12 + 2y = (-3 * 5 + y * 5)
12 + 2y = (-15 + 5y)

Solving
12 + 2y = -15 + 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 = -15 + 5y + -5y

Combine like terms: 2y + -5y = -3y
12 + -3y = -15 + 5y + -5y

Combine like terms: 5y + -5y = 0
12 + -3y = -15 + 0
12 + -3y = -15

Add '-12' to each side of the equation.
12 + -12 + -3y = -15 + -12

Combine like terms: 12 + -12 = 0
0 + -3y = -15 + -12
-3y = -15 + -12

Combine like terms: -15 + -12 = -27
-3y = -27

Divide each side by '-3'.
y = 9

Simplifying
y = 9

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