-2(4y-3)+2y=3(y+6)

Solution for -2(4y-3)+2y=3(y+6) equation:

Simplifying
-2(4y + -3) + 2y = 3(y + 6)

Reorder the terms:
-2(-3 + 4y) + 2y = 3(y + 6)
(-3 * -2 + 4y * -2) + 2y = 3(y + 6)
(6 + -8y) + 2y = 3(y + 6)

Combine like terms: -8y + 2y = -6y
6 + -6y = 3(y + 6)

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

Solving
6 + -6y = 18 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
6 + -6y + -3y = 18 + 3y + -3y

Combine like terms: -6y + -3y = -9y
6 + -9y = 18 + 3y + -3y

Combine like terms: 3y + -3y = 0
6 + -9y = 18 + 0
6 + -9y = 18

Add '-6' to each side of the equation.
6 + -6 + -9y = 18 + -6

Combine like terms: 6 + -6 = 0
0 + -9y = 18 + -6
-9y = 18 + -6

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

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

Simplifying
y = -1.333333333