Put 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.

1 answer

To simplify the expression \( 14y - 6 + 3(4y + 7) \), the steps in order are:

  1. Distribute \( 3 \) into \( (4y + 7) \).
  2. Combine like terms after distribution.
  3. Simplify the resulting expression.

Here’s the breakdown:

  1. Distribute 3 into \( (4y + 7) \):

    • \( 3(4y) + 3(7) = 12y + 21 \)
  2. Rewrite the expression using the result of the distribution:

    • \( 14y - 6 + 12y + 21 \)
  3. Combine like terms:

    • \( (14y + 12y) + (-6 + 21) = 26y + 15 \)

So, in order the steps are:

  1. Distribute \( 3 \) into \( (4y + 7) \).
  2. Rewrite the expression.
  3. Combine like terms.