Beginner Gardening: Sunburnt plant; how far back to cut?, 1 by jniemi

jniemi wrote:
I have had this plant for many years. I forget the name of it, so please let me know. It was a magnificent specimen---over 6' tall. Then we moved and I placed it in a spot, where, unbeknownst to me, it was getting the direct rays of the setting sun for several days. So many of its leaves turned black and I had to cut them off. My question now is, shall I cut back either of its main two stalks? One of them has virtually no leaves on it. If I should cut them, please tell me how far back to cut and where. Thanks for any help; I am so sad for my once handsome plant.