3y+12=5y-8

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Solution for 3y+12=5y-8 equation: 


Simplifying
3y + 12 = 5y + -8

Reorder the terms:
12 + 3y = 5y + -8

Reorder the terms:
12 + 3y = -8 + 5y

Solving
12 + 3y = -8 + 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 = -8 + 5y + -5y

Combine like terms: 3y + -5y = -2y
12 + -2y = -8 + 5y + -5y

Combine like terms: 5y + -5y = 0
12 + -2y = -8 + 0
12 + -2y = -8

Add '-12' to each side of the equation.
12 + -12 + -2y = -8 + -12

Combine like terms: 12 + -12 = 0
0 + -2y = -8 + -12
-2y = -8 + -12

Combine like terms: -8 + -12 = -20
-2y = -20

Divide each side by '-2'.
y = 10

Simplifying
y = 10

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