Question

Put the steps in order to simplify the expression: 10y−5+2(4y+7)
.

NOTE: Start with the given expression.

(4 points)

Answer 1

To simplify the expression \(10y - 5 + 2(4y + 7)\), you can follow these steps in order:

1. **Distribute the 2 into the parentheses**:
\[
2(4y + 7) = 2 \cdot 4y + 2 \cdot 7 = 8y + 14
\]

2. **Rewrite the expression with the distributed terms**:
\[
10y - 5 + 8y + 14
\]

3. **Combine like terms**:
- Combine the \(y\) terms: \(10y + 8y = 18y\)
- Combine the constant terms: \(-5 + 14 = 9\)

So, the expression becomes:
\[
18y + 9
\]

4. **Final simplified expression**:
\[
18y + 9
\]

So, the complete ordered steps are:
1. Distribute the 2.
2. Rewrite the expression.
3. Combine like terms.
4. Write the final simplified expression.