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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.