The achievement is pretty straightforward. Simply complete every single level as Eddie Guerra to unlock this achievement. It can be done in either single player, or any form of co-operative.
Since you need to do a Hard Playthrough, get that out of the way (preferably in Co-op) and then just do a speed-run of the game with the two characters you missed to unlock their respective achievements as well.
If you want to make it easier, use the invincibility glitch. In a single player game, if you activate Concentration mode and then restart your checkpoint, when you restart you should be given a lot more health. This needs to be done at the start of every chapter/act if I remember correctly.