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One stayed and the other went away.

That's another matter/another cup of tea/another pair of shoes.

Now open your other eye.

It will be copied on a separate sheet.

hold an apple in one hand and a pocket knife in the other

look at sth another way; look at sth from another angle

another place/person

a distinctly different world/society

The full text will be dispatched separately.

have other fish to fry; have more important things to do

have another sweetheart/love

have other intentions; have an axe to grind

have some other plans

find some other ways

try to find another way out

open another bank account

give another example

do otherwise; act differently; act defiantly against one's superior

seek some other ways; make some other plans; cook up new schemes