Put the steps in order to simplify the expression: 17y−10+3(2y+1)

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NOTE: Start with the given expression.

(4 points)
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1 answer

To simplify the expression \( 17y - 10 + 3(2y + 1) \), you can follow these steps in the correct order:

  1. Distribute 3 in the expression \( 3(2y + 1) \).
  2. Combine like terms.
  3. Simplify the expression.

Here’s how the steps translate into actions:

  1. Start with the given expression: \( 17y - 10 + 3(2y + 1) \).
  2. Distribute: \( 3(2y) + 3(1) = 6y + 3 \).
  3. Rewrite the expression: \( 17y - 10 + 6y + 3 \).
  4. Combine like terms: \( (17y + 6y) + (-10 + 3) = 23y - 7 \).
  5. The simplified expression is \( 23y - 7 \).

So the final order of steps is:

  1. Start with the given expression: \( 17y - 10 + 3(2y + 1) \).
  2. Distribute \( 3(2y + 1) \) to get \( 6y + 3 \).
  3. Combine like terms to get \( 23y - 7 \).

Let me know if you need anything else!