What is the result of simplifying 4y - 2y + 6?

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

Answer: (A)

To simplify the expression 4y - 2y + 6, the first step is to identify and combine like terms. In this expression, the like terms are the terms that contain the variable y, specifically 4y and -2y.

When you combine these two terms, you perform the following calculation:

4y - 2y = (4 - 2)y = 2y.

After combining the like terms, you are left with 2y. The remaining term in the expression is the constant +6, which does not have a variable and is considered separately.

Thus, when you add the combined like term to the constant, you have:

2y + 6.

This shows that the simplified form of the expression 4y - 2y + 6 is indeed 2y + 6. This option correctly represents the outcome of properly combining the like terms and writing down the remaining constant.