Simplify the expression 10y + 2 - 5y.

• A. 5y + 2
• B. 15y + 2
• C. 5y - 2
• D. 10y - 5

Answer: (A)

To simplify the expression 10y + 2 - 5y, you start by identifying and combining the like terms. In this expression, the like terms are the terms that contain the variable y, which are 10y and -5y.

First, you perform the operation on the like terms:

10y - 5y = 5y.

Next, after combining the like terms, you keep the constant term, which is +2.

Putting it all together, you have:

5y + 2.

Thus, the simplified expression is indeed 5y + 2, making it the correct answer. This approach is key in algebra, as the simplification process involves combining terms that are alike while ensuring any constants remain appropriately added. The other options may represent different manipulations of the original expression but do not adhere to the rules of combining like terms correctly.