When you take control of Yuri, head over and try to take out a couple of enemies dropping out of the chopper in the distance. In a moment, the door in the courtyard will be breached so prepare to drop a grenade into the courtyard to hopeful score a handful of kills. Clean them up and eventually someone will pop smoke in the courtyard and a few choppers will drop down. Those aren't friendly choppers so back up into the room. The Doctor will die so you'll have to head over to the tray of medical supplies and give Soap a shot. Nikolai will pick Soap up and you'll head out through the door.
In the next hallway, turn right and watch for the men crashing through the wall on the right side. Exit through the door on the left and go down the stairs to get to the courtyard. In the courtyard, try and push up the right side so you get some elevation and the flank of the enemies pouring through the door they were coming through originally. Kill all the enemies and head through the door they were coming through. Go down the stairs and wait for Price to open the gate.
Go through the gate and head down the stairs to the left. Follow the street to the corner and take out the men marching up the street. Move up, keeping your cover on the left side of the street. When the street slopes down, you will find a couple of enemies on a balcony in the distance. Take them out and then clear the enemies that dropped into the street. As you make your way down the street, keep your eyes open for more enemies coming out from the same building except one balcony higher. At the bottom of the road, you'll want to turn right but you can also enter the building just ahead to take cover.
To the right will be a group of enemies behind a row of cars. There are stairs up to the left if you want to try to get elevation. Kill them, head up to the cars and turn left into the alley. You'll enter a building on the right and come out the other side. Follow Price into the next building and head down into the basement. This is fun.
Go over to the desk and use the computer to take control of the mini-tank. Drive it out into the street. Whenever you see a group of enemy soldiers close together, use grenades and then use the minimum to clean up stragglers. Make sure to check your corners because there are a lot of enemies and it's easy to miss one.
Use the minimum to take out the chopper and the infantry in front of you. More will come up the road, kill them and check behind debris as you head down the road. When you get closer to the bottom of the street, check right for a couple of enemies and then left for more. Head to the left and watch for enemies in the balconies ahead. Once you've dealt with them, another chopper will appear over the gap to the right. Take that out with the minimum.
You'll want to continue forward as much as possible and then cross over to the scaffolding using a sheet of metal to your right. As you pass by the apartment building, more enemies will appear in the balconies and a group of infantry will appear at the bend on the right side. Minimum the first group and grenade the second, then head up the street. Once you get to the gate at the end of the road, turn right and down below is the LZ for the chopper.
You'll have to clear this area. There will be this giant wave, then an attack chopper and a final gradual wave of enemies. This will be your last bit with the vehicle so feel free to use up your grenades spread out across the two waves. Once they are all gone, you'll be back to Yuri. Head back along the same path and try to get to the chopper. The ground will fall out under you and you will slide down the hill. You will need to push left a little to make it around the building and then back right to avoid the rocks. Once you hit the water below, you're golden.

