To simplify this expression, we first need to combine like terms.

The first term is 4a/2b - 3ab/2:
(4a/2b) - (3ab/2)
= (2a/b) - (3ab/2)
= (2a/b) - (3a/2)
= (4a/2b) - (3a/2b) (finding a common denominator)
= (4a-3a)/2b
= a/2b

The second term is -2/2b + 2ab/2:
(-2/2b) + (2ab/2)
= (-1/b) + (ab)
= (-1/b) + a
= (-1/b + ab) (finding a common denominator)
= (-1 + ab)/b

Therefore, the simplified expression is:
a/2b + (-1 + ab)/b