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

- anonymous

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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- UsukiDoll

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

- anonymous

yes that one

- UsukiDoll

we have a monster version of PEMDAS

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## More answers

- anonymous

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

- 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

- 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

- UsukiDoll

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

- 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

- anonymous

okay im following

- UsukiDoll

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

- anonymous

-3y + 6x

- UsukiDoll

\[\large - (4x-3y+6x)\]

- UsukiDoll

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

- anonymous

10x

- UsukiDoll

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

- anonymous

3y - 10x

- 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

- UsukiDoll

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

- UsukiDoll

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

- anonymous

-2x -4y

- UsukiDoll

\[\large -6(4x-2x-4y) \]

- UsukiDoll

combine like terms

- anonymous

-24x+12x+24y

- UsukiDoll

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

- anonymous

-12x + 24y

- 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

- UsukiDoll

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

- UsukiDoll

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

- anonymous

-13x+41y? is this it?

- anonymous

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

- 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

- UsukiDoll

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

- anonymous

thank you very much sensei....

- UsukiDoll

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

- UsukiDoll

http://www.wolframalpha.com/input/?i=simplify++9x-6%284x-2%28x%2B2y%29%29-%284x-3%28y-2x%29%29+%2B+14y

- UsukiDoll

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

- anonymous

how to give a medal? im beginner here

- UsukiDoll

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

- UsukiDoll

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

- UsukiDoll

there we go :)

- anonymous

thank you again sensei....

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