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(4-5y)-2(3.5y-8) Answer

2 min read Jun 16, 2024
(4-5y)-2(3.5y-8) Answer

Simplifying the Expression: (4-5y)-2(3.5y-8)

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

Understanding the Order of Operations

Before we begin simplifying, it's crucial to remember the order of operations, often remembered by the acronym PEMDAS or BODMAS:

  • Parentheses ( Brackets)
  • Exponents ( Orders)
  • Multiplication and Division (from left to right)
  • Addition and Subtraction (from left to right)

Step-by-Step Simplification

  1. Distribute: Begin by distributing the -2 to the terms inside the parentheses: (4 - 5y) + (-2 * 3.5y) + (-2 * -8)

  2. Simplify Multiplication: Perform the multiplications: 4 - 5y - 7y + 16

  3. Combine Like Terms: Combine the 'y' terms and the constant terms: (4 + 16) + (-5y - 7y)

  4. Final Result: Add the coefficients: 20 - 12y

Conclusion

Therefore, the simplified form of the expression (4-5y)-2(3.5y-8) is 20 - 12y.

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