Question

ut the steps in order to simplify the expression: 14y−6+3(4y+7).NOTE: Start with the given expression.(4 points)Arrange responses in the correct order to answer the question. Select a response, navigate to the desired position and insert response at that position. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can be moved using the up and down arrow keys or by dragging with a mouse.

Answer 1

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

1. Distribute the \( 3 \) in the expression \( 3(4y + 7) \).
2. Combine like terms by adding the \( y \) terms and the constant terms.

Here is the step-by-step breakdown:

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

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

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

Putting it all together gives you: Final Simplified Expression: \( 26y + 15 \)

Now, to put the individual steps in the correct order:

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

These steps will lead you to the simplified expression \( 26y + 15 \).