SOLUTION: Please help me confirm I am doing this correctly: 4(2(-5x+y)-y)-10(y-4X) with the outside set of parenthesis being brackets

Question 100202This question is from textbook Algebra structure and Method
: Please help me confirm I am doing this correctly:
4(2(-5x+y)-y)-10(y-4X) with the outside set of parenthesis being brackets This question is from textbook Algebra structure and Method

Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
Using brackets helps visually, but nested parentheses are okay, too.
4[2(-5x+y)-y]-10(y-4x) means 4 * (2 * (-5x + y) - y) - 10*(y - 4x).
Then you simplify the innermost parentheses repeatedly. But you have to remember the rules of precedence: exponentiation, then multiplication and division (left to right), then addition and subtraction (left to right).

4 * (2 * (-5x + y) - y) - 10*(y - 4x) becomes
4 * (-10x + 2y - y) - 10*(y - 4x) because you do the multiplication before subtracting the y.
Solving inside the parentheses is next:
4 * (-10x + y) - 10*(y - 4x)
Now multiply left to right:
-40x + 4y - 10y + 40x because mutiplying -4x by -10 is +40x.
The -40x cancels + 40x, so we end up with -6y

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