To solve the equation, we can start by getting rid of the fractions by multiplying both sides of the equation by the common denominator, which is 6:

6 * (5/x) - 6 * (y/3) = 6 * (1/6)

This simplifies to:

30/x - 2y = 1

Next, we can rearrange the equation to isolate the variable y:

-2y = 1 - 30/x

To get rid of the negative sign in front of the y, we can multiply both sides of the equation by -1:

2y = -1 + 30/x

Finally, we can solve for y by dividing both sides of the equation by 2:

y = (-1 + 30/x) / 2

Therefore, the solution to the equation is y = (-1 + 30/x) / 2.