(4−5y)−2(3.5y−8) Simplified

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression (4−5y)−2(3.5y−8)

This article will guide you through the steps of simplifying the algebraic expression (4−5y)−2(3.5y−8).

Understanding the Steps

1. Distribute: Begin by distributing the -2 to the terms inside the second set of parentheses.
2. Combine Like Terms: After distribution, identify and combine terms with the same variable and terms without variables (constants).

Detailed Explanation

1. Distribution:

   • Multiply -2 by 3.5y: -2 * 3.5y = -7y
   • Multiply -2 by -8: -2 * -8 = 16

   Now our expression becomes: (4−5y) - 7y + 16

2. Combining Like Terms:

   • Combine the 'y' terms: -5y - 7y = -12y
   • Combine the constant terms: 4 + 16 = 20

   The simplified expression is -12y + 20.

Conclusion

By following the steps of distribution and combining like terms, we have successfully simplified the expression (4−5y)−2(3.5y−8) to -12y + 20. Remember to pay close attention to the signs when performing these operations.