What do you get when you combine the expression 10 - 4 + 3y - 2y?

• A. 6 + y
• B. 7 + y
• C. 8 + y
• D. 6y + 6

Answer: (A)

To simplify the expression 10 - 4 + 3y - 2y, start by combining the constant terms and the like terms (the terms with the variable y) separately.

First, look at the constant terms: 10 and -4. When you perform the calculation, you have:

10 - 4 = 6.

Next, focus on the variable terms, which are 3y and -2y. These can be combined as follows:

3y - 2y = 1y, which can also be written simply as y.

Now, combine the results of both parts: the constant 6 and the variable y. This gives you:

6 + y.

This matches the first option perfectly. Thus, the correct answer is indeed 6 + y. By contrasting this process with the other answer choices, you can see the importance of accurately combining both the constant and variable components in the expression.