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.

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: \( 26y + 15 \)