5Y3 can usually sub for a 5Z4. The Z4 is a heater-type tube while the Y3 has no cathode sleeve. So, their power-on characteristics will differ (the Y3 will produce voltage faster than the Z4 on startup), which could lead to a voltage surge on B+ (since the other tubes, being heater-type units, won't draw current until their own cathodes have been warmed up sufficiently. This brief no-load condition may cause an overvoltage condition on all caps hanging on the B+ line. After warmup, the two tube types are pretty much the same (same filament current rating).