SOLUTION: Hi, my question is about order of operations. I have tried this question so many times but never got the right answer: 4[2(-5x+y)-y]-10(y-4x) Can you help me? *if possible,

Question 501214: Hi, my question is about order of operations. I have tried this question so many times but never got the right answer:
4[2(-5x+y)-y]-10(y-4x)
Can you help me? *if possible, can you give me step by step?*
Thank you!
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Memory aid for "order of operations" is PEMDAS:
P:Parentheses first
E:Exponents next
MD: multiply/divide taken left to right
AS: addition/subtraction taken left to right
.
4[2(-5x+y)-y]-10(y-4x)
4[(-10x+2y)-y]-10(y-4x)
4[-10x+2y-y]-10(y-4x)
4[-10x+y]-10(y-4x)
[-40x+4y]-10(y-4x)
[-40x+4y]-(10y-40x)
[-40x+4y]-10y+40x
-40x+4y-10y+40x
group like-terms:
(-40x+40x)+(4y-10y)
(0x)+(-6y)
0+(-6y)
(-6y)
-6y

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