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

Question

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NOTE: Start with the given expression.

(4 points)
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Answer 1

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

1. Distribute the \( 3 \) to both terms inside the parentheses: \[ 3(4y + 7) \rightarrow 12y + 21 \]

2. Rewrite the expression with the distributed terms: \[ 14y - 6 + 12y + 21 \]

3. Combine like terms:

   • Combine the \( y \) terms: \( 14y + 12y = 26y \)
   • Combine the constant terms: \( -6 + 21 = 15 \) \[ 26y + 15 \]

4. The final simplified expression is: \[ 26y + 15 \]

So, the order of steps is:

1. Distribute the \( 3 \).
2. Rewrite the expression.
3. Combine like terms.
4. Write the final simplified expression.