In a 3 way configuration the line wire should be connected to the common terminal of the brilliant control. This type of switch lets you turn the light off or on from more than one place in the room.

3 Way Switch Installation
Light switch 3 black wires. The other two black wires trigger no response. This is a typical wiring setup for a 3 way light switch with black white red and ground wires. Only 1 of the black wires seem to be hot lights up the voltage tester when touching the 3 whites and one black together. I have 3 white wires and 3 black wires in a light fixture. This is the wire that connects your switch to your light bulb or other load ie. When turning off the switch via the circuit breaker the bedroom light s and the adjacent master bathroom lights will turn off.
A fan or other appliance. If it helps the this light switch turns on two seperate ceiling lights in the bedroom. Red and blue wires link traveler terminals of both switches. A three way switch is different. While a single black wire is pigtailed and connected to the bottom screw non green screw. Replacing single pole light switch with 3 black wires a few days ago an issue developed where whenever i flipped a certain light switch the light wouldnt come on but the gfci would trip.
This 3 way light switch wiring diagram shows how to do the light switch wiring and the light when the power is coming to the light fixture. The black hot wire connects to the far right switchs common terminal. If it doesnt work switch the lower wires. It is also usually black. In this diagram power enters the fixture box. I got a black and decker guide for basic electrical repairs and tried to fix it myself.
When i put all 3 black together and all3 white together the light works as long as the switch is in the off position.