Laughing off can be synonymously expressed in several ways. One could say that a person brushed it off, shrugged it off, let it go, or even dismissed it. Each of these terms conveys the idea of not taking something seriously enough to the point of laughing it off. Disregarding and belittling could also be used in this context to imply a similar meaning. Sometimes, people might view laughing off as a form of coping mechanism, so other words such as coping, dealing, and managing could also describe the situation. Ultimately, the synonym used depends on the context as well as the intended meaning and tone.