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## anonymous one year ago Would anyone give me the exact step for solving this problem? 9x-6(4x-2(x+2y))-(4x-3(y-2x))+14y

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1. UsukiDoll

$\large 9x-6(4x-2(x+2y))-(4x-3(y-2x)) + 14y$ this?

2. anonymous

yes that one

3. UsukiDoll

we have a monster version of PEMDAS

4. anonymous

is there any guide i should follow in order to get the correct answer? I always come up with different answers

5. UsukiDoll

let's do it the order of operations way which is deal with the parenthesis first ...but this is a mega one so we need to be careful

6. UsukiDoll

$\large 9x-6(4x-2(x+2y))-(4x-3(y-2x)) + 14y$ ok I can't change the color of the font x.x but let's try dealing with $\large -(4x-3(y-2x))$ first

7. UsukiDoll

there's is () but we also have another ()... do the inner () first

8. UsukiDoll

don't forget to distribute the negative too because it's on the right hand side of the equation ^^ so what's -3 times y and -3 times -2x

9. anonymous

okay im following

10. UsukiDoll

can you please answer what is -3 multiplied by y and -3 multiplied by -2x ? i'm not supposed to give direct answers

11. anonymous

-3y + 6x

12. UsukiDoll

$\large - (4x-3y+6x)$

13. UsukiDoll

correct... now what's 4x+6x

14. anonymous

10x

15. UsukiDoll

$\large - (-3y+10x)$ now distribute the negative

16. anonymous

3y - 10x

17. UsukiDoll

super! we got that part out of the way... so time to bring back the equation and put that instead of that super long 4x- laallaa

18. UsukiDoll

$\large 9x-6(4x-2(x+2y))-(4x-3(y-2x)) + 14y$ $\large 9x-6(4x-2(x+2y))+3y-10x+ 14y$

19. UsukiDoll

$\large -6(4x-2(x+2y))$ now we deal with this mega parenthesis.. again do the inner () first

20. anonymous

-2x -4y

21. UsukiDoll

$\large -6(4x-2x-4y)$

22. UsukiDoll

combine like terms

23. anonymous

-24x+12x+24y

24. UsukiDoll

ok.. we've distributed ^_^ no problem.. but we still need to combine like terms for x

25. anonymous

-12x + 24y

26. UsukiDoll

$\large -6(4x-2x-4y)$ $\large -6(2x-4y) \rightarrow -12x+24y$ correct now we replace that monster equation we had earlier to this simple one

27. UsukiDoll

$\large 9x-12x+24y+3y-10x+ 14y$

28. UsukiDoll

now we rearrange them ... having all x's first and then y's last

29. anonymous

-13x+41y? is this it?

30. anonymous

by the way, is it possible that the 1st term be negative? or i should interchange their position like 41y-13x

31. UsukiDoll

$\large 9x-12x+24y+3y-10x+ 14y$ $\large 9x-12x-10x+24y+3y+ 14y$ $\[\large 9x-12x-10x+24y+3y+ 14y$ \rightarrow -13x+41y\] well order doesn't matter so you can either have -13x + 41y or 41y -13x

32. UsukiDoll

nugh latex nOO! -13x+41y is what I got in the end

33. anonymous

thank you very much sensei....

34. UsukiDoll

and guess what? I've checked with wolfram alpha and it agrees with us! YAY!

35. UsukiDoll
36. UsukiDoll

order doesn't matter ... as long as the numerical values are correct xD....can I get a medal?

37. anonymous

how to give a medal? im beginner here

38. UsukiDoll

oh you just click on best response on the top left of my postings.

39. UsukiDoll

there is a best response button right next to the medal (0)

40. UsukiDoll

there we go :)

41. anonymous

thank you again sensei....

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