Motorcycle Questions? Ask a Mechanic.
Hi and welcome to JustAnswer,Thank you for the question and your patience. Should you still need assistance for information purposes only...Initially, please post back with a clear closeup picture of the gear shift lever.
Still, it would largely depend if the gear shift lever is directly bolted to the transmission/gear shift shaft. If yes, then the lever would have to be moved in to allow the bolt to pass cleanly between the spline and through the intended indentation. The gear shift shaft would look something like the image shown HERE.
On the otherhand, if it uses an extension rod / linkage, then the slack can be removed/adjusted first loosening the 2 locking nuts and turning the center rod as may be needed.
Please post back results / observations of the above once tried.
Appreciate your post back and would look forward to an update / posting of the pictures. This is the only way for me to see what you are seeing and thus have a common reference.
Appreciate the image though perhaps, a closer/clearer picture of the shifter's center/pivot area? ...this is where the most likely cause for the "...play moving left to right..."