When permitting an adult or minor committed to the Department of the Youth Authority his or her liberty pursuant to subdivision (a) of Section 1766, the Youth Authority Board shall impose as a condition thereof that the adult or minor pay in full any restitution fine or restitution order imposed pursuant to Section 13967, as operative on or before September 28, 1994, of the Government Code, or Section 1202.4 of the Penal Code, or Section 1203.4, as operative on or before August 2, 1994, of the Penal Code, or Section 730.6 or 731.1, as operative on or before August 2, 1995. Payment shall be in installments set in an amount consistent with the adult’s or minor’s ability to pay.