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

Jasonbradley

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Jun 16, 2024

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Simplifying Algebraic Expressions: (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 Steps

Simplifying algebraic expressions involves combining like terms and applying the order of operations (PEMDAS/BODMAS). Here's a breakdown of the steps:

1. Distribute: Begin by distributing the -2 to the terms inside the parentheses. Remember that multiplying a negative number by a positive number results in a negative number.

   (4-5y)-2(3.5y-8) = 4-5y -7y + 16

2. Combine Like Terms: Identify and combine terms with the same variable and exponent. In this case, we have -5y and -7y.

   4 -5y -7y + 16 = 4 - 12y + 16

3. Simplify: Combine the constant terms.

   **4 - 12y + 16 = ** 20 - 12y

Final Simplified Expression

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