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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)
= Original expression: 14y - 6 + 3(4y + 7)
= Rearrange to see like terms: 14y + 12y - 6 + 21
= Combine like terms: 28y + 15
= Do the distributive property: 14y - 6 + 12y + 21

1 answer

To simplify the expression \( 14y - 6 + 3(4y + 7) \), the correct order of steps would be:

  1. Original expression: \( 14y - 6 + 3(4y + 7) \)
  2. Do the distributive property: \( 14y - 6 + 12y + 21 \)
  3. Rearrange to see like terms: \( 14y + 12y - 6 + 21 \)
  4. Combine like terms: \( 28y + 15 \)

So the ordered steps are as follows:

  1. Original expression: \( 14y - 6 + 3(4y + 7) \)
  2. Do the distributive property: \( 14y - 6 + 12y + 21 \)
  3. Rearrange to see like terms: \( 14y + 12y - 6 + 21 \)
  4. Combine like terms: \( 28y + 15 \)