3y+12=9y-6

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Solution for 3y+12=9y-6 equation:


Simplifying
3y + 12 = 9y + -6

Reorder the terms:
12 + 3y = 9y + -6

Reorder the terms:
12 + 3y = -6 + 9y

Solving
12 + 3y = -6 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
12 + 3y + -9y = -6 + 9y + -9y

Combine like terms: 3y + -9y = -6y
12 + -6y = -6 + 9y + -9y

Combine like terms: 9y + -9y = 0
12 + -6y = -6 + 0
12 + -6y = -6

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

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

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

Divide each side by '-6'.
y = 3

Simplifying
y = 3

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