Subtract.
5 yd 12 in
- 2 yd 22 in
equals?
!

So to make this easy we can convery yards into feet
1 yrd = 3 feet 
So 5*3 = 15 feet and 2*3 = 6 feet
15 feet 12 in - 6 feet 22 in
Now we can go into inches since 22 doesn't go into feet evenly
15*12 = 180 +12 = 192
6*12 = 72 + 22  = 94
192 Inches - 94 inches = 98 inches

98 Inches is the final answer unless you need it in yards. Then we just convert back

98 / 12 = 8 feet 2 Inches
and back into yards

2 Yards 2 feet and 2 inches