How to solve a system of equations using elimination?

If  you have a problem like: 
4x+2y=20
2x+2y=16
 You would subtract
4x-2y=20
-2x+2y=16
You would get the new problum
2x=4
You now want to divide the 2 on both sides to solve for x
x=2

Now that you've solved for X you want to solve for y. So use substitution to solve for y. You would want to substatute the x for the 2 in either of the problums. I'll use the first one.
4(2)+2y=20

You first want to multiply te 4(2) you would get a new problum.
8+2y=20

Now you want to subtract the 8 on both sides.
2y=12

The last step to solve for y is to divide the 2 on both sides.
Y=6

So your answers would be
x=2
y=6