To solve this equation, let's first distribute the -1/3 to each term inside the brackets:

3 - 1/3 2/3y - 1/3 1/2 = 1/3y + 1.5

Simplify the equation:

3 - 2/9y - 1/6 = 1/3y + 1.5

Now, let's get rid of the fractions by multiplying the entire equation by the least common denominator, which is 18:

18(3) - 18(2/9y) - 18(1/6) = 18(1/3y) + 18(1.5)

54 - 4y - 3 = 6y + 27

Combine like terms:

51 - 4y = 6y + 27

Now, let's isolate the variable y by moving all terms with y to one side:

51 - 27 = 6y + 4y

24 = 10y

Finally, divide by 10 to solve for y:

y = 24/10
y = 2.4