The phrase "skip through" typically means to move quickly through something, usually without paying full attention to it. However, there are several synonyms that can be used interchangeably with this phrase to add variety to your writing. For instance, you might use "skim through" or "glance through" to suggest a cursory reading or examination of something. Alternatively, you could use "scan" or "peruse" to suggest a more careful and deliberate reading or examination. Other options might include "browse," "flip through," or "thumb through," all of which suggest a casual or superficial approach to something. Ultimately, the choice of synonym will depend on the context and tone of your writing.