Abstract: A solenoid-operated valve has an exhaust seat (42) through which fluid can flow to an exhaust port (32) of the valve. Fluid can also flow through a control/supply seat (46) from a supply port (30) of the valve to a control port (28) of the valve. An axially rigid assembly includes first and second ball (40, 48) distanced from each other but connected such that pressure against one ball that is sufficient to cause it to move always moves the other ball. The exhaust seat (42) is blocked by the first ball (40) when the control/supply seat (46) is not blocked, and the control/supply seat (46) is blocked by the second ball (48) when the exhaust seat (42) is not blocked.