Run carb/fuel system cleaner through it a few times, too.
My 81 Z28 has old gas in it. Eight or more years. I start it up every few months and let it run till it gets good and hot. The 74 LT has even older gas in it. Again, it gets started and let run till hot 3 or 4 times a year. I need to get off my ass and get the ball joints replaced in the 81 and get the front end aligned, new tires on it and start driving it again.
Old gas can cause a problem.
Hell, when I brought one of my dad's old roto tillers down here my brother told me it hadn't been started in 4 years (they bought a tractor when dad got too old to run the tiller all the time) and the gas in the tank was probably bad. It fired up on the 3rd or 4th pull of the starter rope. I ran that gas out and refilled the tank and kept tearing up the ground for tomatoes, cucumbers and lettuce (salad, mmmmm.)