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

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

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

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

Combine like terms: 2y + -3y = -1y
6 + -1y = 6y

Solving
6 + -1y = 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 + -1y + -6y = 6y + -6y

Combine like terms: -1y + -6y = -7y
6 + -7y = 6y + -6y

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

Add '-6' to each side of the equation.
6 + -6 + -7y = 0 + -6

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

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

Divide each side by '-7'.
y = 0.8571428571

Simplifying
y = 0.8571428571