Well if you really want to do it, it is quite easy, but you may not get the results that your hoping for.
Most likely the tube (unless it is cracked anywhere) is not the problem on your Dynamo. But here are some simple instructions.
1) Take a picture of your connections (this is actually just for memory purposes. I blew out a monitor that I connected the power backwards on acident

)
2) Make sure that your either A really careful with rubber handled tools or B wearing rubber gloves (this is important, I got zapped and passed out once just messing with a monitor, since then I always wear rubber gloves when tooling with monitors, even just adjusting the dials -- I think I may be overly cautious).
3) Make sure that the monitor has been removed from all power sources and discconnect it from the jamma output.
4) Make sure that your either A really careful with rubber handled tools or B wearing rubber gloves. Then remove the suction cup thing from the top back of the monitor (there are metal prongs under it like a christmas orniment, these are the most dangerous things).
5) Disconnet the flyback from the monitor (this may also be dangerous, but it is said to have no charge). This will include the neck connector and probably a few wires.
6) Now that this is done the most difficult part is over. Remove the cassis from the frame and then set it aside.
7) Follow steps 1 - 6 for the other monitor.
8) Now replace the chassis and screw it into the frame(put the good one on the the good tube).
9) Reconnect the flyback to the neck and then all the wires. (this is where that picture is most important, make sure EVERYTHING is the same)
10) Replace the suction cup thingy CAREFULLY.
11) I recomend that you do NOT connect this to the jamma, just the power to start (I shorted my MVS-1 slot out when I did this

) then see if it turns on.
12) If all looks good reconnect the RGB from the JAMMA and test it out.
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I do NOT really recomend this. Like I said, best bet is to have a pro do it. You CAN die from this, there is enough energy to do so. Be very careful if you do. Like I said, I got zapped and passed out for a min or two when I accidentally touched the wrong thing with a screw driver. If you do this and there is no difference you probably need a capacitor replacement kit.
Good luck.