Complex sentence: Laurie Tremblay was walking to school when she was killed and dumped behind a Mexican restaurant; however, detectives had no way of linking this killing to the other three murders because Laurie was strangled with a ligature.
Split into simpler sentences: Laurie Tremblay was walking to school when she was killed and dumped behind a Mexican restaurant. Detectives had no way of linking this killing to the other three murders, since Laurie was strangled with a ligature.