3y-12=5y+15

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Solution for 3y-12=5y+15 equation: 


Simplifying
3y + -12 = 5y + 15

Reorder the terms:
-12 + 3y = 5y + 15

Reorder the terms:
-12 + 3y = 15 + 5y

Solving
-12 + 3y = 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 + 3y + -5y = 15 + 5y + -5y

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

Combine like terms: 5y + -5y = 0
-12 + -2y = 15 + 0
-12 + -2y = 15

Add '12' to each side of the equation.
-12 + 12 + -2y = 15 + 12

Combine like terms: -12 + 12 = 0
0 + -2y = 15 + 12
-2y = 15 + 12

Combine like terms: 15 + 12 = 27
-2y = 27

Divide each side by '-2'.
y = -13.5

Simplifying
y = -13.5

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