What is the simplified form of 4y + 2 - 2y?

What is the simplified form of 4y + 2 - 2y?

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

Answer: (A)

To find the simplified form of the expression 4y + 2 - 2y, it's essential to combine the like terms. The terms that are alike in this case are the terms that contain the variable y. Start with the terms that involve y: you have 4y and -2y. When you combine these, you can think of it like this: 4y - 2y equals 2y because you are taking away 2y from 4y. Next, you have a constant term, which is +2 in this expression. Since there are no other constant terms to combine it with, it remains as +2. Putting it all together, after combining the like terms, you have: 2y (from the y terms) + 2 (the constant term). Thus, when expressed together, the simplified form is 2y + 2, which corresponds to the correct answer. This method effectively demonstrates how to combine like terms by focusing on both variable-based and constant terms separately.

To find the simplified form of the expression 4y + 2 - 2y, it's essential to combine the like terms. The terms that are alike in this case are the terms that contain the variable y.

Start with the terms that involve y: you have 4y and -2y. When you combine these, you can think of it like this:

4y - 2y equals 2y because you are taking away 2y from 4y.

Next, you have a constant term, which is +2 in this expression. Since there are no other constant terms to combine it with, it remains as +2.

Putting it all together, after combining the like terms, you have:

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

Thus, when expressed together, the simplified form is 2y + 2, which corresponds to the correct answer. This method effectively demonstrates how to combine like terms by focusing on both variable-based and constant terms separately.