Ok, here we go with the next side escape flow. This time your opponent has past your guard and is working for a guillotine from the side. I usually find myself in this position when they pass my half guard with the guillotine already in.
The hardest part is actually getting to the kimura grip, but if they resist I usually just scoot my hips away and replace my guard or half guard while they are worrying about their arm.
1 - Side Control
Your opponent has side control, as is working for a guillotine. Usually this arises when they have just passed you half guard with the choke already in.
2 - Grab Wrist
Grab their wrist and bring the other arm over...
3 - Free Head
...as you free your head and...
4 - Kimura grip
...lock in the Kimura grip.
5 - Trap the Leg
When you have got the grip, try and step your leg over theirs. This will trap them and stop the rolling as you apply...
6 - Kimura
..the Kimura for the submission.
7 - Cant Trap Leg
Lets say you cant trap the leg or you lose the leg trap position. Keep the kimura grip...
8 - Bridge and Roll
... and bridge your hips as you really drive with the kimura grip. If they do not roll with it they are going to get shoulder locked anyway.
9 - Land on Top
Land in the top side control position STILL with the kimura grip on. Even if you lose the Kimura now you still have escaped the position.
10 - Kimura Finish 1
Lift their shoulders off the mat and finish with the regular kimura arm lock from the side.
11 - Kimura Finish 2
Next you can bring your knee up to their hip and step over their head with your other leg and apply the Kimura again from this position.
12 - Switch Grip
From the Kimura, switch your grip so that your other hand is under hooking their arm. You will then turn into your opponent placing your shin on their ribs (where my left hand is in this pic)
13 - Arm Bar Finish
Sit back and take the straight arm bar. Keep your shin against their ribs and pinch your knees very tightly.
14 - They Defend
They defend the arm lock by linking their hands. So, keep your arm under hooking theirs and post on the mat and sit up.
15 - Turn and Kick
Now turn onto your side (towards their legs) and start to kick your leg (the one against their ribs) underneath their head...
16 - Head Scissors
...and trap their head between your knees and cross your feet. From here squeeze your knees tight and finish with the head scissors submission.