Place signs around the house notifying everyone not to use the water, or plan to do the project when everyone is away. Dig the trench leading from the sump pump to the storm sewer line. Make the depth of the trench as deep as the connection from the sump pump.
Make the connection at a point that allows back-and-forth movement of the pipe. Measure the storm sewer line for the cut necessary to fit the 4-inch PVC "Y" connection.
Place the "Y" on the location of the storm sewer pipe for the intended connection. Use a pencil marker to indicate the cut line for the "Y, " end to end. Subtract an additional 4 inches from the measurement. This allows the room necessary to maneuver the pipe into the "Y." Cut the pipe in the two locations as marked.
Clean the burrs and shavings resulting from cutting the sewer line PVC pipes. Apply primer and cement to the edges of the pipes. Connect the "Y" fitting. Insert about 2 inches of the cut pipe into the "Y" at each end. Allow 8 to 10 seconds for the connection to dry.
Connect a 2-foot length of 4-inch PVC pipe to the sump pump. Secure the connection with a rubber coupling. Tighten the screws on the coupling. Follow the instruction for attaching the directional flow valve to the pipe. Typically, the valve has an arrow to indicate the upward position for the component.
Use a tape measure to determine the distance from the check valve to the height of the "Y" place in the storm sewer line. Cut the appropriate length of PVC pipe. Connect the pipe to the end of the check valve. Tighten the connection.
Run 4-inch PVC pipe to the "Y" fitting; follow local building codes for the slope of the pipe. Use the necessary fittings to make the connection based on the angles from the sump pump to the "Y" connection.
Clean the end of the pipe and apply primer and cement. Connect the pipe to the "Y." Call the local building code department to schedule an inspection before filling in the trenches or covering connections.