Unless -I'm- missing something in your question or the photo, you would remove the
hex screw in the #1 driver (seen below the crosshead guide) with a small wrench (not
pliers) remove (cut) the old tire off if you have not already done so, slip the new one
up under the side rod and, using small screwdriver/tweezers/much cursing fiddle the
tire top to bottom or bottom to top into the slot.
This is a pain in the locomotive; tires should only be put on the
#4 (in this case) drivers for easy replacement.
I don't have one of these Y6's, but here's the true correct way to do it: if the loco has tires on the #4 drivers - most modern locos have only that, in my experience - simply leave the one's you are talking about off, forever. They are not needed, their absence is not really visible (and so what?) and you will not hurt a single thing.