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

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

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

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

Reorder the terms:
6 + -2y = 3(6 + 2y)
6 + -2y = (6 * 3 + 2y * 3)
6 + -2y = (18 + 6y)

Solving
6 + -2y = 18 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
6 + -2y + -6y = 18 + 6y + -6y

Combine like terms: -2y + -6y = -8y
6 + -8y = 18 + 6y + -6y

Combine like terms: 6y + -6y = 0
6 + -8y = 18 + 0
6 + -8y = 18

Add '-6' to each side of the equation.
6 + -6 + -8y = 18 + -6

Combine like terms: 6 + -6 = 0
0 + -8y = 18 + -6
-8y = 18 + -6

Combine like terms: 18 + -6 = 12
-8y = 12

Divide each side by '-8'.
y = -1.5

Simplifying
y = -1.5