[Sean Jensen]

I inherited an 06 honda shadow spirit 750. I removed the carbs and gave em a good cleaning. Put it back in and cant figure out where this hose goes. It spits out a little gas as soon as I start it. It's in my hand in the pic

 

[junkbonds]

Those carbs will have a vent hose so if everything is working fine it is likely the vent hose. Install it high and out of the elements. I can't tell from your pic but the vent hose will be tee'ed off a crossover pipe between the carbs.

 

[CINDERS]

Looks like a "T" fitting to me just left of center pic between the carbs..