2(3-2y)=3y-8

Solution for 2(3-2y)=3y-8 equation:

Simplifying
2(3 + -2y) = 3y + -8
(3 * 2 + -2y * 2) = 3y + -8
(6 + -4y) = 3y + -8

Reorder the terms:
6 + -4y = -8 + 3y

Solving
6 + -4y = -8 + 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 + -4y + -3y = -8 + 3y + -3y

Combine like terms: -4y + -3y = -7y
6 + -7y = -8 + 3y + -3y

Combine like terms: 3y + -3y = 0
6 + -7y = -8 + 0
6 + -7y = -8

Add '-6' to each side of the equation.
6 + -6 + -7y = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -7y = -8 + -6
-7y = -8 + -6

Combine like terms: -8 + -6 = -14
-7y = -14

Divide each side by '-7'.
y = 2

Simplifying
y = 2