3y-6=12y+6

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

Simplifying
3y + -6 = 12y + 6

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

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

Solving
-6 + 3y = 6 + 12y

Solving for variable 'y'.

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

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

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

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

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

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

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

Divide each side by '-9'.
y = -1.333333333

Simplifying
y = -1.333333333