All V-Star owners should read their owners manual to realize that "unleaded gasoline" is the preferred fuel, not 10% ethanol. Probably 99% of all motorized vehicles are fuel injected and will run on 10% ethanol fuel; anything with a carburetor - motorcycles (all), chainsaws, lawnmowers, etc. should use non-oxygenated fuel (not 10% ethanol unless with stabilizers) only! Fuel sits in carburetor bowls and gums in a very short time.
10% ethanol fuel has been around since the 80's (?), so motorcycles back before then never had this issue. Motorcycles have run beautifully for 100 years with carbs until 10% ethanol fuel came around, and they and your V-Star will also run great if you avoid running it - or get a fuel injected bike, just like the cars.
I have more than 11000 flawless miles on my V-Star, running it exclusively on unleaded non-oxygenated fuel, 10% ethanol fuel only when filling up on the road and getting stabilizers into it ASAP.
If your carbs are already gummed, get them squared away and stay away from 10% ethanol at all costs, and your bike should run trouble-free. Get smarter with the fuel you run and start to enjoy your motorcycle!