2ax - 3ay + 2x - 3y

a(2x-3y) + (2x-3y)

(a+1)(2x-3y)

To simplify the expression 2ax - 3ay + 2x - 3y, we can combine like terms.

Step 1: Look for terms with the same variables raised to the same powers. In this expression, we have 2 terms with the variable "x" (2ax and 2x) and 2 terms with the variable "y" (-3ay and -3y).

Step 2: Combine the coefficients of terms with the same variables. For the terms with the variable "x", the coefficients are "2a" and "2". Since there are no other terms with "x", we can add these coefficients to get "2a + 2".

Step 3: Repeat the same process for the terms with the variable "y". The coefficients are "-3a" and "-3". Adding them together gives "-3a - 3".

Step 4: Now we can rewrite the simplified expression by combining the like terms. Putting it all together, the simplified expression becomes:
(2a + 2)x + (-3a - 3)y.

Therefore, the simplified expression for 2ax - 3ay + 2x - 3y is (2a + 2)x + (-3a - 3)y.