"Throw dust in one's eyes" is an idiom that means to deceive or mislead someone with false information or actions. Some synonyms for this phrase include "pull the wool over one's eyes," "hoodwink," "bamboozle," "fool," "trick," and "dupe." Other related phrases include "smoke and mirrors," "put up a front," "hide one's true intentions," and "deceive with a false front." These phrases are often used to describe situations in which someone is trying to conceal their true motives or actions, and can be used in both formal and informal settings.