Simplify this algebraic expression completely.

Question

10y - 3(y+ 5)
Apex Learning
XA 01)
• A. 7y - 15
B. 7y + 5
• c. 7y - 5
D. 7y+ 2

Answer 1

To simplify the expression \(10y - 3(y + 5)\), we will follow these steps:

1. Distribute the \(-3\) across the \((y + 5)\): \[ -3(y + 5) = -3y - 15 \]

2. Substitute back into the expression: \[ 10y - 3(y + 5) = 10y - 3y - 15 \]

3. Combine the \(y\) terms: \[ 10y - 3y = 7y \]

4. Thus, we have: \[ 7y - 15 \]

The simplified expression is \(7y - 15\).

So the answer is A. 7y - 15.