Finding the Difference: (4−5y)−2(3.5y−8)
This problem involves simplifying an expression by combining like terms. Let's break it down step-by-step:
1. Distribute the -2
Start by distributing the -2 to the terms inside the parentheses:
(4 - 5y) - 2(3.5y - 8) = 4 - 5y - 7y + 16
2. Combine Like Terms
Identify and group the terms with 'y' and the constant terms:
(4 + 16) + (-5y - 7y)
3. Simplify
Combine the coefficients:
20 - 12y
Final Answer
The difference of (4−5y)−2(3.5y−8) is 20 - 12y.