you can shift or move any object precisely by entering the needed numbers in the (X, Y) fields at the Transform Panel, and also you can enter it as mathematical model like (X= 220+10 px) (Y= 110-5 px) to dispense with the calculator
For the moves mentioned, Object>Transform>Move -50 horizontally or -10 vertically, the latter unless you have (kept) the Y axis direction from before CS5, in which case it is 10 vertically.
You can also select the object with the Selection tool and hit the Enter key to bring up the Move dialog. You can then enter "-50mm" in the Horizontal field to move the object 50mm to the left, or "200px" to move it 200 pixels down.
@mcsousah has the best approach, illustrator/any adobe input box does the calculating right there in the app.
...then if you just want to keep incrementing in steps (w/o constantly typing a formula each time)
Just hit 'Ctrl+D' after your initial transform.. this will 'transform again' and keep bumping your object in a predicable manner each 'Ctrl+D' ....
... 'Shift+Ctrl+M' also brings up a 'step' kind of input.. i.e. 'move this thing 50 mm, pixels, inches, whatever)
you can change the units in 'Document Setup' too if change your mind on that bit.
Hope that helps you out some.
I mentioned the person I repeated.. to build upon the point made .. I have no way of knowing what the poster knows fully.
KrisHunt posted while I was mid-post and did not see his reply. I am at work and can't sit in here constantly monitoring
People repeat me here as well... new info is not repeating
Simply doubleClicking either of the selection tools will also open its dialog, in which you can enter horizontal or vertical move values.
KrisHunt posted while I was mid-post and did not see his reply.
That has often happened to me, especially when my post is more detailed and takes awhile to type.