Finding the Difference: (4-5y) - 2(3.5y - 8)
This expression involves simplifying and combining terms to find the difference between two expressions. Here's a step-by-step guide to solve it:
1. Distribute the -2
Begin by distributing the -2 to both terms inside the parentheses:
(4 - 5y) - 2(3.5y - 8) = 4 - 5y - 7y + 16
2. Combine like terms
Now, group the terms with 'y' together and the constant terms together:
(4 - 5y) - 7y + 16 = -5y - 7y + 4 + 16
3. Simplify
Finally, combine the 'y' terms and the constant terms:
-5y - 7y + 4 + 16 = -12y + 20
Therefore, the difference between (4 - 5y) and 2(3.5y - 8) is -12y + 20.