3(y-12)=5y+2

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


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

Reorder the terms:
3(-12 + y) = 5y + 2
(-12 * 3 + y * 3) = 5y + 2
(-36 + 3y) = 5y + 2

Reorder the terms:
-36 + 3y = 2 + 5y

Solving
-36 + 3y = 2 + 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.
-36 + 3y + -5y = 2 + 5y + -5y

Combine like terms: 3y + -5y = -2y
-36 + -2y = 2 + 5y + -5y

Combine like terms: 5y + -5y = 0
-36 + -2y = 2 + 0
-36 + -2y = 2

Add '36' to each side of the equation.
-36 + 36 + -2y = 2 + 36

Combine like terms: -36 + 36 = 0
0 + -2y = 2 + 36
-2y = 2 + 36

Combine like terms: 2 + 36 = 38
-2y = 38

Divide each side by '-2'.
y = -19

Simplifying
y = -19

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