Born on 9 July, 1938 in Dnepropetrovsk. Raised by a theatrical family in Maykop. Her father, Medzhid Salekhovich Akhedzhakov, was a chief director, and her mother, Yuliya Aleksandrovna, was an actress in the Adygeyskiy Drama Theatre.
She applied to the Moscow Light Metals Institute. In 1958, it was moved to Krasnoyarsk, but by that moment Liya already understood that she had chosen a different path, and applied to GITIS – just like her father did, many years ago.
In 1962, she graduated from the State Institute of Theatre Arts, named after A.V. Lunacharskiy.
In 1960 she joined the company of the Moscow Theatre for Young Audiences as a “travesty" – an actress playing men’s parts. One of her best roles was in the show “My Brother Plays the Clarinet.”
In 1977, she moved to the Sovremennik Theatre’s company, under the direction of Galina Volchek.
She began working in film in 1973, and even her debut role, in the film “I'm Looking for a Person,” was nominated for prizes in international film festivals in Varna and Locarno.