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: \[ \boxed{26y + 15} \]