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:

$8/15<em>2$ - $3/10</em>3$ + $3/5\ast 6$ = 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