To solve this equation, we need to first simplify both sides by finding a common denominator.

1/2 - 1 3/5y = 41/2 - 3y
1/2 - 8/5y = 41/2 - 3y

Now, we need to get rid of the fractions by multiplying each term by 10 (which is the least common multiple of 2 and 5):

10(1/2) - 10(8/5y) = 10(41/2) - 10(3y)
5 - 16y = 205 - 30y

Next, we need to isolate the variable on one side of the equation. Let's move all terms involving y to one side:

-16y + 30y = 205 - 5
14y = 200

Now we solve for y:

y = 200/14
y = 100/7
y = 14.2857

Therefore, the solution for the equation 1/2 - 1 3/5y = 41/2 - 3y is y = 14.2857.