2y+12=3y-6

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Solution for 2y+12=3y-6 equation:


Simplifying
2y + 12 = 3y + -6

Reorder the terms:
12 + 2y = 3y + -6

Reorder the terms:
12 + 2y = -6 + 3y

Solving
12 + 2y = -6 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
12 + 2y + -3y = -6 + 3y + -3y

Combine like terms: 2y + -3y = -1y
12 + -1y = -6 + 3y + -3y

Combine like terms: 3y + -3y = 0
12 + -1y = -6 + 0
12 + -1y = -6

Add '-12' to each side of the equation.
12 + -12 + -1y = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -1y = -6 + -12
-1y = -6 + -12

Combine like terms: -6 + -12 = -18
-1y = -18

Divide each side by '-1'.
y = 18

Simplifying
y = 18

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