Okay, I went to do the math.
First, I found the match history page and used it (with the League Wiki) to calculate your defensive stats and Yi's AD, AS, crit, etc.
Second, I calculated the damage from Q and the BORK active.
Next, I calculated the damage from his first autoattack.
Then, I calculated the damage from his second autoattack.
Then, I realized I hadn't accounted for the Ninja Tabi passive, so I went back and redid the first two autoattacks.
Then I realized I accounted for the Ninja Tabi passive wrong, so I redid the first autoattack again.
Then I stopped for a moment and realized I'd Nerd-Sniped myself quite thoroughly.
Then I said to myself "screw it" and stopped.