OK, to start with - viscosity. SAE10W is equivalent in viscosity to ISO AW32, not 46.
Next. That oil's got major quantities of water in it as other have pointed out, so you'd better be prepared to buy a sh1t-load of hydraulic oil & a few hydraulic oil filters (and a load of buckets, drums & whatever to drain the old oil into) because this will likely get very messy. Here's what I suggest over and above what has been suggested above by 707 & Delmer.
1. Don't just drain the tank, try and loosen everything that you can in the tank-pump-control valve circuit and drain the oil out of all the lines in that circuit. Then change the filter, fill the tank (a bit over-full if anything) and crank up the engine. Bleed the pump lines as suggested to get all the air out but DON'T touch any controls yet. That will keep the new oil from mixing to any significant extent with the old milky oil in the implement, swing, and travel circuits.
2. Next go to the implement circuit. Loosen the lines feeding oil to the lift cylinders for the raise function and try to drain the oil out of the bottom side of the cylinder. Then start the engine, gently move the lift lever to the "raise" position and watch the oil coming out of the loose hose connection(s) until you get clean oil coming out. At that point tighten them. Note that you have not moved the boom at this point.
3. Then loosen the hose(s) that carry the oil to the boom cylinder for the lower function and do the same as you did in point 2 above but this time moving the control lever to the "lower" position. When you get clean oil leave the hose connections loose - do not tighten them. At this point shut down the engine and top off the hydraulic tank. It will likely need it.
4. So now you have clean oil in the lines up to both ends of the boom cylinders but still the old oil in one end of the cylinder. Gently put the control in "raise" and watch the loose connection on the return line as the cylinders go up and all the old oil milky gets pushed out instead of being fed back to the tank. One the boom is fully up you can tighten the connections and lower it again. That circuit should be pretty much as clean as you can get it.
5. Repeat Steps 2, 3, & 4 with the Stick cylinder and the Bucket cylinder. Remember to keep checking and topping up the hydraulic tank as you go.
6. Now you've got the implement circuits reasonably clean move to the swing motor. Loosen one of the two lines on the motor for left/right swing, and also loosen the line that releases the swing brake. Hoick the boom up in the air and gently start to swing in one direction, stop when the swing brake line shows clean oil and tighten that line. Then keep swinging and once you get clean oil as far as the motor, stop and tighten the connection. Then loosen the other swing hose and repeat the operation swinging in the other direction.
7. You can do a similar thing for the travel motors as for the swing motor. The only thing you need do is use the bucket to lift one track off the ground so that you can rotate the travel motor. The only difference as far as the travel motors are concerned is that there is a case drain line on them that needs disconnecting to prevent the milky oil going back to the tank that way. Bleed the travel motor brake line first then bleed the forward and reverse hoses. Repeat the procedure for the other travel motor.
Even this procedure is not 100% guaranteed to get all the contaminated oil out of the system but I'd say done carefully it will probably get 95+% of it out.
BTW - Did I mention you're going to need a sh1tload of oil (and probably loads of patience as well if you want to make a good job of it)......??