(4−5y)−2(3.5y−8)=

less than a minute read Jun 16, 2024
(4−5y)−2(3.5y−8)=

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

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

Understanding the Steps

Simplifying this expression involves applying the distributive property and combining like terms. Here's a breakdown of the steps:

  1. Distribute: Begin by distributing the -2 outside the parentheses. This means multiplying -2 by each term inside the parentheses:

    (4 - 5y) - 2(3.5y - 8) = 4 - 5y - 7y + 16
    
  2. Combine Like Terms: Identify terms with the same variable and constants. Combine them by adding or subtracting their coefficients:

    4 - 5y - 7y + 16 = (4 + 16) + (-5y - 7y) 
    
  3. Simplify: Perform the addition and subtraction operations:

    (4 + 16) + (-5y - 7y) = 20 - 12y
    

Final Result

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

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