To subtract the two fractions, we need a common denominator. In this case, the common denominator is 15.

First fraction:
(2/3 * 5/5) - (4/15)
= 10/15 - 4/15
= 6/15

Second fraction:
(3/1 * 5/5) - (2/1)
= 15/15 - 2
= 13/15

Subtracting the two fractions:
6/15 - 13/15
= -7/15

Therefore, the answer is -7/15.