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 the 3 into the parentheses:**
\[
14y - 6 + (3 \cdot 4y) + (3 \cdot 7)
\]
This simplifies to:
\[
14y - 6 + 12y + 21
\]

3. **Combine like terms (the \(y\) terms and the constant terms):**
- Combine \(14y\) and \(12y\):
\[
14y + 12y = 26y
\]
- Combine \(-6\) and \(21\):
\[
-6 + 21 = 15
\]

4. **Write the final simplified expression:**
\[
26y + 15
\]

So the final answer is:
\[
\boxed{26y + 15}
\]