Complex sentence: She has been a professor of piano at New York's Manhattan School of Music and Mannes College of Music since the late 1970s and is a highly sought-after pedagogue, and many of her students are well-known pianists and international competition winners.
Split into simpler sentences: She has been a professor of piano at New York's Manhattan School of Music and Mannes College of Music since the late 1970s. She is a highly sought-after pedagogue, and many of her students are well-known pianists and international competition winners.