When it comes to synonyms for "go through carelessly", there are numerous options available. Some of the most commonly used alternatives include "skim", "glance", "browse", "scan", "peruse", and "flick through". Each of these words carries a slightly different connotation and is used in different contexts depending on the specific situation. For example, "skim" might be used to describe quickly looking over a document or article, while "peruse" implies a more thorough reading. Ultimately, the choice of synonym will depend on the intended meaning and tone of the sentence in which it is being used.