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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 \( 14y - 6 + 3(4y + 7) \), follow these steps in order:

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

So the ordered steps are:

  1. \( 14y - 6 + 3(4y + 7) \)
  2. \( 14y - 6 + 12y + 21 \)
  3. \( (14y + 12y) + (-6 + 21) \)
  4. \( 26y + 15 \)