Question

Combine the like terms to make an equivalent expression to -1/2(3y+10).

Answer 1

Combining the like terms of the expression -1/2(3y+10) involves distributing the -1/2 to both 3y and 10, resulting in the equivalent expression -1.5y - 5.

Step-by-step explanation:

To combine the like terms and make an equivalent expression to -1/2(3y+10), we need to distribute the -1/2 across the terms inside the parentheses. This means we will multiply -1/2 by 3y and by 10. Let's perform this step by step:

1. Multiply -1/2 by 3y: (-1/2) × 3y = -3y/2 or -1.5y.
2. Multiply -1/2 by 10: (-1/2) × 10 = -10/2 or -5.
3. Combine the results: -3y/2 - 5.

Thus, the equivalent expression to -1/2(3y+10) is -1.5y - 5.