It has an EX-106+ dynamic cell, which requires 12V.
I have a 12V adapter, an Arduino Uno board, U2D2 Power Hub Board and a USB connection wire.
Can't I get 12V from the U2D2 Power Hub Board?
I looked it up and found that I can't export 12V directly from Arduino board.
I'd like to know how others did it without the shield.
You can't export 12v from Arduino, so you can't power the Arduino and dynamic cell both from the 5v supply.
But you can power the Arduino from 12v (to the VIN pin), so you can use a single external 12v DC supply for both devices.
They make devices called relays and solid state relays that work with the Arduino. Use one of those to switch the 12V. If you do not have much more then that connected to the Arduino power it with 12V. Keep the current load to the Arduino below 50mA. I use solid state relays they are quiet and do not generate much electrical noise.