Step 1: Let today be \(T\). 
Given: Thursday falls 2 days after tomorrow. 
Tomorrow = \(T + 1\) day 
Two days after tomorrow = \(T + 3\) days 
Given this day is Thursday. So, 
\[
T + 3 = \text{Thursday}
\]
Step 2: Find what day \(T\) is: 
Counting backwards, 
If \(T + 3 = \text{Thursday}\), then \(T = \text{Thursday} - 3\) days 
Days before Thursday: Wednesday (1), Tuesday (2), Monday (3) 
So, \(T = \text{Monday}\) 
Step 3: Find the day 3 days before yesterday. 
Yesterday = \(T - 1 = \text{Sunday}\) 
Three days before yesterday = \(T - 4 = \text{Monday} - 4\) days 
Counting backwards from Monday: 
Sunday (1), Saturday (2), Friday (3), Thursday (4) 
So, three days before yesterday was Thursday.