Is it possible to change a key Y to C for making all keys of X/Y/Z axes nearby?
It's not so hard as looks like, you can set it in "User Preferences" ("Input" tab):
You need to find the drop-down list "Transform Modal Map" (it is near end of the list)
There isn't Y-axis in it, but you can add and setup it by pressing "Add new" button.
Next, select "Orientation Y axis" and setup shortcut
Hey, what about "Shift-Y" which stands for "transform along every axes BUT Y"?
For "Shift-Y" analog use Orientation Y plane. This is a final setup: