The first section of this is just more Simon Says with Price. At one point, you will have to kill someone without being seen in the spotlight. The spotlight you have to watch is the one on the left wall. After that, follow Price some more until he shoots out the lights. They just go through and you can kill everyone easily. They likely won't even shoot a single shot.
Once they start using flares, get a few kills and then follow Price up the left side. Continue following the left side wall around to the waypoint on the far side. More enemies will pour out of that door so be ready. When the hostage appears, he will actually get away if you wait a second and then you'll have free shot at the man behind him.
Get beyond him and you'll follow Price for a bit again. After Price throws his grenade and you slide down you'll find yourself in a kitchen. Take out the three unfortunate souls there. Make your way through the compound. If you keep up a good pace, you can actually get a good drop on most of the enemies herein a lot of cases, they will still be scrambling for cover or running and you can take a few out allowing you to keep a good pace. Once you come outside, drop down into the courtyard and "support Price." And by support they mean take the lead. Thin out the enemies a little bit and work your way to the far building by moving up the right flank. Move to the building at the back left corner and go up the stairs.
When you get there, he'll mention how perfectly the timing of the enemy was. Just blow up the bridge, no need to wait for a cue. Hop out of the window and make your way back across the bridge and through the gate. Try and sprint across because there isn't a lot of cover. Once on the other side, try and take cover to the right side behind a truck. Thin out the group as best as you can and deal with the BTA. Price will tell you to get in that very truck and you'll begin your escape.
