bman734
Now that you know the Professional way to do it, here is the Totally Unprofessional way to do it.
1. Loosen the cable adjustment all the way and then remove the upper end of the cable from the upper end at the grip.
2. Get a oil can with the little pump lever attached to it and put some light weight oil (10-30wt or 20wt) in the can.
3. Get a wide rubber band and cut it one place.
4. Hold the tip of the oil can next to the place where the inner cable goes into the outer cable sheath and wrap the rubber band around the whole thing including back under the area where the tip and the cable rest against each other.
5. Get an old rag and wrap around the end of the cable and the tip of the oil can.
6. Pump the oil can handle to inject oil into the cable. Pump it until you see oil coming out of the other end of the cable sheath.
7. Remove the rag, the rubber band and the oil can and set aside.
8. Hook the cable back up and adjust it to factory recommended settings.
It's a messy way of doing the job but it has been used for 80 years and it still works.