(4−5y)−2(3.5y−8)=

less than a minute read Jun 16, 2024

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).

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
```

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