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:

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

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)

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.