6x-2y=24
how do u solve for y

It's Diophantine equation. 
First, we need to found gcd(6,(-2)):
6=2*3
(-2)=(-1)*2

So, gcd(6,-2)=2
Now, the question is. Can we dived c=24, by gcd(6,-2) and in the end get integer?
Yes we can.

So, we can solve it.

Now is the formula:


Second, we need the first pair (x0,y0) 
 if
x=0
then


Third, we gonna use that formula:

Congratulations! We solve it.