What is the simplified form of 3y + 7 - 2y + 1?

• A. y + 8
• B. y + 6
• C. 3y + 8
• D. 5y + 8

Answer: (A)

To simplify the expression 3y + 7 - 2y + 1, you begin by combining like terms. The like terms in this expression include the terms with 'y' and the constant terms.

First, look at the terms with 'y': you have 3y and -2y. When you combine these, you subtract 2y from 3y, which gives you:

3y - 2y = 1y or simply y.

Next, you combine the constant terms, which are 7 and 1. Adding these together gives:

7 + 1 = 8.

Now, combine the simplified terms. You have y from the y terms and 8 from the constant terms. This leads to the final simplified expression:

y + 8.

This is why the correct answer is y + 8; it accurately reflects the process of combining like terms in the initial expression.