An internal combustion engine has a cylinder head mounted to an engine block that at least partially forms a plurality of cylinder combustion chambers. The cylinder head has multiple intake ports and multiple exhaust ports. Engine valves regulate the passage of gas into and out of the combustion chamber. Cam-operated engine valves are mechanically coupled to a rotating cam directly or through one or more of a variety of components that assist in transforming the rotational kinetic energy of the cam to linear motion of the engine valves. One of the exhaust valves and one of the intake valves are mechanically coupled to the cam. Electrohydraulic actuators actuate separate intake and exhaust valves of a particular cylinder. The electrohydraulic actuators are in fluid communication with a high pressure fluid source.