score:8
I have seen three options in action.
First option, the reach across the car, and open window. If the car is not too big and the driver is good in positioning the car as near to barrier control as possible, it works.
Second option, reach across the car with an arm extender, that can be a reach extender if you have to hand over a card or a soup ladle if you need to hand coins into a wide container or someones hand. Turn the ladle and you have a point to push buttons.
Warning, this can be illegal on main roads and can be dangerous depending on the kind of traffic.
Third option, get out of car, walk around, do what you need to do, walk around again, get in car and drive off.
Most places should allow you enough time to do that but in some cases you may have to walk back and push the 'help' button to have them open the barrier again.
If you plan to use this method and you find the time at the barriers is restricted, stop the car as far forward as acceptable, walk back quickly and drive forward/through the barrier before doing your safety belt, if at all possible.
(Do the belt as soon as you are through the barrier.)
This question shows that most barriers seem to have enough time for you not to need to worry about being quick.
The easiest method it to have a passenger in the front seat to do the work for you. Which is ruled out by your question.