Method outline:
1. First two centres
2. Partial cross and last cross edge
3. Last 4 centres
4. Second 4 edges
5. Two F2L pairs
6. Last 4 edges
7. 3x3x3
Alternatives:
For steps 2 and 3, you can solve the last cross edge after the last 4 centres instead but I don't do this in the video...