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

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

Answer: (A)

To simplify the expression 4y + 6 - 2y, you focus on combining like terms. Like terms are terms that contain the same variable raised to the same power. In this case, you have two like terms, which are 4y and -2y.

Start with the terms that contain the variable y:

4y - 2y results in 2y.

Now, look at the constant term, which is +6. Since there are no other constant terms to combine with, it remains as is.

Putting it all together, you get:

2y (from combining the y terms) + 6 (the constant term).

Thus, the simplified expression is 2y + 6. This matches the correct answer. The other options do not reflect the correct combination of the original terms.