Complex sentence: Libby is then rushed to the hospital where they find out that she has been infected with HIV but luckly, her test result for her illness turns "Negative", which she and Yvonne are glad to hear and Libby finally survives her illness.
Split into simpler sentences: Libby is then rushed to the hospital where they find out that she has been infected with HIV. However, her test result for her illness turns "Negative", which she and Yvonne are glad to hear and Libby finally survives her illness.