Well there are some details you need to consider (and that you need to give).
First of all, what is the file system of the /home partition? Some resize easily, others do not. Second, are the /home and /various partitions sequential in the partition table? In other words, is it something like:
hda2 - /home
hda3 - /various
If there is a partition in the middle of them, it makes things more complicated. If they are right next to each other (preferably with /various after /home) then it is just a matter of deleting /various and expanding /home to make up the difference. But if there are other partitions involved, they will need to be shuffled around, which could be a problem (and will most certainly be more difficult).