3y+12=(y-2)

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


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

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

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

Remove parenthesis around (-2 + y)
12 + 3y = -2 + y

Solving
12 + 3y = -2 + y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-1y' to each side of the equation.
12 + 3y + -1y = -2 + y + -1y

Combine like terms: 3y + -1y = 2y
12 + 2y = -2 + y + -1y

Combine like terms: y + -1y = 0
12 + 2y = -2 + 0
12 + 2y = -2

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

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

Combine like terms: -2 + -12 = -14
2y = -14

Divide each side by '2'.
y = -7

Simplifying
y = -7

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