If you have stiffnes in +/-Y direction there will be a Y displacement depending on the direction of the acting resultant loads.
If the loads are acting in -Y direction so there will be a displacement in -Y direction.
In case the resultant acting load in +Y direction this will show you the displacement in +Y direction and the neigbour/other supports will take large loads.
These are expected. However, I can not exactly visualise what you are trying to do. Therefore, my earlier comments are still valid. If you can provide more information about your project I guess you will find more comments from others experienced in that field.
Regards,
Ibrahim Demir