12y+6=6(3y-1)

Solution for 12y+6=6(3y-1) equation:

Simplifying
12y + 6 = 6(3y + -1)

Reorder the terms:
6 + 12y = 6(3y + -1)

Reorder the terms:
6 + 12y = 6(-1 + 3y)
6 + 12y = (-1 * 6 + 3y * 6)
6 + 12y = (-6 + 18y)

Solving
6 + 12y = -6 + 18y

Solving for variable 'y'.

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

Add '-18y' to each side of the equation.
6 + 12y + -18y = -6 + 18y + -18y

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

Combine like terms: 18y + -18y = 0
6 + -6y = -6 + 0
6 + -6y = -6

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

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

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

Divide each side by '-6'.
y = 2

Simplifying
y = 2