NEW YORK—Marilyn Bergman, the Oscar-winning lyricist who teamed with husband Alan Bergman on “The Way We Were,” “How Do You Keep the Music Playing?” and hundreds of other songs, died at her Los Angeles home Saturday. She was 93. She died of respiratory failure not related to COVID-19, according to a representative, Jason Lee. Her husband was at her bedside when she died. The Bergmans, who married in 1958, were among the most enduring, successful, and productive songwriting partnerships, specializing in introspective ballades for film, television, and the stage that combined the romance of Tin Pan Alley with the polish of contemporary pop. They worked with some of the world’s top melodists, including Marvin Hamlisch, Cy Coleman, and Michel Legrand, and were covered by some of the world’s greatest singers, from Frank Sinatra and Barbra Streisand to Aretha Franklin and Michael Jackson. “If one really is serious about wanting to …