A compressed air supply installation for operating a pneumatic installation, especially an air suspension installation of a vehicle, includes: an air supply unit and an air compression unit for supplying a compressed air supply unit with compressed air, a pneumatic connection, especially a bleeding line, comprising a bleeding valve system in the form of a controllable solenoid valve system and a bleeding port for bleeding air, and a pneumatic connection, especially a compressed air supply line, comprising an air drier and a compressed air port for supplying the compressed air. The solenoid valve system comprises a primary valve and a secondary valve, which are actuatable by a controller of the solenoid valve system that is common to both valves and acts upon both valves.