To solve this equation, we need to isolate y on one side of the equation.

x/-5 + y/3 = 1

First, let's eliminate the fractions by multiplying both sides of the equation by 15 (the least common multiple of 3 and 5):

15(x/-5) + 15(y/3) = 15(1)
3x + 5y = 15

Now, we need to isolate y by subtracting 3x from both sides:

5y = -3x + 15

Finally, divide by 5 to solve for y:

y = -3x/5 + 15/5
y = -3/5x + 3

Therefore, the solution to the equation is y = -3/5x + 3.