Question

Put the steps in order to simplify the expression: 14y−6+3(4y+7)
.

NOTE: Start with the given expression.

Answer 1

To simplify the expression \( 14y - 6 + 3(4y + 7) \), follow these steps in order:

1. **Start with the given expression:**
\[
14y - 6 + 3(4y + 7)
\]

2. **Distribute \(3\) in the term \(3(4y + 7)\):**
\[
14y - 6 + 3 \cdot 4y + 3 \cdot 7
\]
This simplifies to:
\[
14y - 6 + 12y + 21
\]

3. **Combine like terms (combine \(14y\) and \(12y\), and combine \(-6\) and \(21\)):**
- Combine \(14y\) and \(12y\): \(14y + 12y = 26y\)
- Combine \(-6\) and \(21\): \(-6 + 21 = 15\)

This results in:
\[
26y + 15
\]

4. **Final simplified expression:**
\[
26y + 15
\]

So, the simplification steps in order are as follows:

1. Start with \( 14y - 6 + 3(4y + 7) \)
2. Distribute \(3\): \( 14y - 6 + 12y + 21 \)
3. Combine like terms: \( 26y + 15 \)
4. Final result: \( 26y + 15 \)