To solve this equation, we need to first simplify the expression on the left side and then isolate the variable (y) on one side of the equation.

13 2/9 - (7 5/9 + y) = 3 5/9

Convert all mixed numbers to improper fractions:

13 2/9 = (9 13 + 2) / 9 = 119/9
7 5/9 = (9 7 + 5) / 9 = 68/9
3 5/9 = (9 * 3 + 5) / 9 = 32/9

Now substitute these values back into the equation and simplify:

119/9 - (68/9 + y) = 32/9

119/9 - 68/9 - y = 32/9

51/9 - y = 32/9

Now, subtract 51/9 from both sides:

-y = 32/9 - 51/9

-y = -19/9

Finally, multiply both sides by -1 to solve for y:

y = 19/9

Therefore, the solution to the equation is y = 19/9.