(CNN) Actor and comedian Tim Conway, best known for his work on "The Carol Burnett Show," died on Tuesday morning in Los Angeles, according to his publicist.

Conway was 85.

He had been battling a longtime illness prior to his death, Howard Bragman, Conway's representative, told CNN. He was not suffering from dementia or Alzheimer's disease, Bragman said.

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Conway won three Emmys for co-starring in "The Carol Burnett Show," which ran from 1967 to 1978, and a fourth as a member of its writing team. He also briefly headlined his own variety series and co-starred in several Disney live-action comedies during the '70s, such as "The Apple Dumpling Gang" and "The Shaggy D.A."

Before then, he starred as bumbling Ensign Charles Parker in the comedy "McHale's Navy," from 1962 to 1966.

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