extremely easy, need assistance? Medal!
so I'm in college algebra now, and I seem to have forgotten some basics.
Can someone help me solve for y in this equation
x=9y+7/7y-2

Question

extremely easy, need assistance? Medal!
so I'm in college algebra now, and I seem to have forgotten some basics. 
Can someone help me solve for y in this equation
x=9y+7/7y-2

misty1212 · Answer

HI!!

anonymous · Answer

Hi!

misty1212 · Answer

this is not really that easy so it is easy to forget

anonymous · Answer

lol okay, thanks for the reassurance.

misty1212 · Answer

$$x=\frac{9y+7}{7y-2}$$ right?

anonymous · Answer

yup!

misty1212 · Answer

first multiply both sides by $7y-2$ to clear the fraction

anonymous · Answer

should you always do the denominator first?

misty1212 · Answer

you get 
$$x(7y-2)=9y+7$$
then multiply out on the right

misty1212 · Answer

you gotta get rid of the denominator to solve, yes

anonymous · Answer

okay, and that's what I got also.

misty1212 · Answer

when you multiply out you get 
$$7xy-2x=9y+7$$

anonymous · Answer

so 7yx-2x=9y+7

misty1212 · Answer

right

misty1212 · Answer

now put all the stuff with $y$ on one side of the equal sign, (say the left) everything else on the other

anonymous · Answer

okay, one second

anonymous · Answer

I got 5x-7=9y/y

misty1212 · Answer

no not quite

anonymous · Answer

how do i get the y alone then?

anonymous · Answer

that's where I always mess it up.

misty1212 · Answer

we are not there yet, hold on

misty1212 · Answer

we are good to here
$$7xy-2x=9y+7$$ now you want all the y terms on the left, subtract $9y$ from both sides, which does not really mean "subtract" it just means "write it"
\]7xy-9y-2x=7\]

misty1212 · Answer

oops 
$$7xy-9y-2x=7$$ that's better

anonymous · Answer

oh... I went about it the wrong way...

misty1212 · Answer

then add $2x$ to both sides
what do you get?

anonymous · Answer

7yx-9y=2x+7

misty1212 · Answer

ok good so we have all the y terms on the left, all else on the right
that is correct because we want to get y by itself
now factor out the y from the left
do you know what i mean by that?

anonymous · Answer

yeah.

anonymous · Answer

y(7x-9)=2x+7

misty1212 · Answer

good 
now one step and you are done, namely divide by $7x-9$ to get $y$

anonymous · Answer

and then divide by the 7x-9

misty1212 · Answer

yup
`

anonymous · Answer

okay, got it. Thank you so much. lol that was much more difficult than I remember learning in 6th grade. I caught on to bad math habits and it shows in how I try to do things now ):

misty1212 · Answer

not terrifically hard, but not really that easy 
take several steps

misty1212 · Answer

$$\color\magenta\heartsuit$$

anonymous · Answer

Thanks again! have a great day!

misty1212 · Answer

you too