Simplify the expression 4y + 5 - 2y.

• A. 2y + 5
• B. 6y + 5
• C. 4y + 3
• D. 2y - 5

Answer: (A)

To simplify the expression 4y + 5 - 2y, we first need to identify and combine the like terms. The like terms in this expression are the terms that contain the variable y, which are 4y and -2y.

When we combine 4y and -2y, we perform the operation 4y - 2y, which equals 2y. After combining these like terms, we still have the constant term 5 remaining in the expression.

Therefore, when we combine everything together, we have 2y (from 4y - 2y) plus the constant 5, resulting in the simplified expression 2y + 5.

The correct answer is indeed 2y + 5, which matches the first choice. This demonstrates the process of identifying like terms and combining them properly in algebraic expressions, a fundamental skill in simplifying expressions.