To simplify the expression (2x + 3y) – (4x – 2y), we need to distribute the negative sign to the terms inside the parentheses. Here are the steps to simplify it:

Step 1: Distribute the negative sign to the terms inside the second set of parentheses:

(2x + 3y) – 4x + 2y.

Step 2: Combine like terms. In this case, we can combine the x terms and the y terms separately:

2x – 4x + 3y + 2y.

Step 3: Simplify the x terms by combining the coefficients:

(2 – 4)x + 3y + 2y.

Step 4: Simplify the y terms by combining the coefficients:

-2x + 5y.

Therefore, the simplified expression for (2x + 3y) – (4x – 2y) is -2x + 5y.