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Put the steps in order to simplify the expression: 10y−5+2(4y+7)

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NOTE: Start with the given expression.

(4 points)

1 answer

To simplify the expression \(10y - 5 + 2(4y + 7)\), you can follow these steps in order:

  1. Distribute the 2 into the parentheses: \[ 2(4y + 7) = 2 \cdot 4y + 2 \cdot 7 = 8y + 14 \]

  2. Rewrite the expression with the distributed terms: \[ 10y - 5 + 8y + 14 \]

  3. Combine like terms:

    • Combine the \(y\) terms: \(10y + 8y = 18y\)
    • Combine the constant terms: \(-5 + 14 = 9\)

    So, the expression becomes: \[ 18y + 9 \]

  4. Final simplified expression: \[ 18y + 9 \]

So, the complete ordered steps are:

  1. Distribute the 2.
  2. Rewrite the expression.
  3. Combine like terms.
  4. Write the final simplified expression.