What is the result of simplifying 10y - 3 + 5y?

• A. 15y - 3
• B. 15y + 3
• C. 5y - 3
• D. 10y - 8

Answer: (A)

To simplify the expression 10y - 3 + 5y, we begin by identifying and combining like terms.

The terms 10y and 5y are both coefficients of the variable y. To combine them, we add their coefficients together:

10y + 5y = 15y.

The term -3 is a constant and does not have any like terms to combine with. It remains unchanged in the expression.

Putting it all together, we rewrite the simplified expression as 15y - 3. This is where the answer A comes from. By correctly identifying and combining like terms, we achieved the final form of the expression.