To solve the equation:

8/15y - 3/10y + 3/5y = 0.5

First, find a common denominator for the fractions on the left side of the equation, which is 30.

Rewrite the equation with the common denominator:

(8/15 2) - (3/10 3) + (3/5 * 6) = 0.5

Now simplify the equation:

16/30 - 9/30 + 18/30 = 0.5
(16 - 9 + 18) / 30 = 0.5
25 / 30 = 0.5
5 / 6 = 0.5

Therefore, the solution to the equation is:

y = 6/5