"Go-that-a-ways" is a slang term often used in casual conversation when giving directions. It can be replaced by various synonyms that convey a similar meaning. Some alternatives include "go down/up the road," "head in that direction," "travel a distance," "move further along," or "proceed along the path." The choice of a synonym depends on the context, the speaker's preferences, and the listener's familiarity with the area. Using different synonyms can also add variety and color to the language, making the direction-giving more engaging and memorable. Ultimately, the goal is to convey a clear and concise message that helps the listener reach their destination.