Answer:
Kayla likes little, brown dogs; she likes big, fluffy cats.
Step-by-step explanation:
The semicolon is used when a thought in the sentence has ended, but the sentence will not be completed at that time, because the thought will receive a complement. In this case, the semicolon indicates a pause longer than the comma, to indicate the end of a thought, but the pause is less than the pause of the final point, to indicate that the thought has not yet been concluded.
We could rewrite the phrase "Kayla likes little, brown dogs. She likes big, fluffy cats" using a semicolon, replacing the period between the two thoughts with the semicolon. This would result in:
"Kayla likes little, brown dogs; she likes big, fluffy cats. "