3(y-2)+6y=12

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

Simplifying
3(y + -2) + 6y = 12

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

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

Solving
-6 + 9y = 12

Solving for variable 'y'.

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

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

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

Combine like terms: 12 + 6 = 18
9y = 18

Divide each side by '9'.
y = 2

Simplifying
y = 2