15y+6-1.5y=32+0.5y

Solution for 15y+6-1.5y=32+0.5y equation:

Simplifying
15y + 6 + -1.5y = 32 + 0.5y

Reorder the terms:
6 + 15y + -1.5y = 32 + 0.5y

Combine like terms: 15y + -1.5y = 13.5y
6 + 13.5y = 32 + 0.5y

Solving
6 + 13.5y = 32 + 0.5y

Solving for variable 'y'.

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

Add '-0.5y' to each side of the equation.
6 + 13.5y + -0.5y = 32 + 0.5y + -0.5y

Combine like terms: 13.5y + -0.5y = 13y
6 + 13y = 32 + 0.5y + -0.5y

Combine like terms: 0.5y + -0.5y = 0.0
6 + 13y = 32 + 0.0
6 + 13y = 32

Add '-6' to each side of the equation.
6 + -6 + 13y = 32 + -6

Combine like terms: 6 + -6 = 0
0 + 13y = 32 + -6
13y = 32 + -6

Combine like terms: 32 + -6 = 26
13y = 26

Divide each side by '13'.
y = 2

Simplifying
y = 2