It is easier to understand if you think of subtracting B from A as adding -B to A. In your example, subtracting 10 from 20 is the same as adding -10 to 20. In this case -10 is 0F6h in 8-bit hex. Adding 0F6h+14h equals 10Ah which generates a carry.
The carry flag is a borrow bit when it comes to subtraction. It is the 9th bit. You set it before a subtraction, if it gets cleared then a borrow from the high byte has occurred. so, in your example, 20-10 should be thought of as 276 (20+256) - 10 = 266. 266 being 10 + the carry (9th) bit.
So, it's logically the same as when you do addition, I.E. the 9th bit.