Gray-beard is a term that is commonly used to describe an elderly man with a long, grey beard. However, there are many other words and phrases that can be used to describe this type of person. Some of these synonyms include "old-timer", "wise old man", "elder", "senior citizen", "patriarch", "venerable one", and "hoary-headed". Each of these terms has its own unique connotations and can be used to convey different emotions or attitudes towards this type of person. Ultimately, the choice of synonym will depend on the tone and context of the specific situation.