2y-6=-3y+24

Solution for 2y-6=-3y+24 equation:

Simplifying
2y + -6 = -3y + 24

Reorder the terms:
-6 + 2y = -3y + 24

Reorder the terms:
-6 + 2y = 24 + -3y

Solving
-6 + 2y = 24 + -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 + 2y + 3y = 24 + -3y + 3y

Combine like terms: 2y + 3y = 5y
-6 + 5y = 24 + -3y + 3y

Combine like terms: -3y + 3y = 0
-6 + 5y = 24 + 0
-6 + 5y = 24

Add '6' to each side of the equation.
-6 + 6 + 5y = 24 + 6

Combine like terms: -6 + 6 = 0
0 + 5y = 24 + 6
5y = 24 + 6

Combine like terms: 24 + 6 = 30
5y = 30

Divide each side by '5'.
y = 6

Simplifying
y = 6