Painted silks may be hand washed in cold water, without rubbing and without twisting, using silk and wool detergent (a few drops). Do not allow the silk too get to dirty to clean the silk with a light wash. Silk should not be soaked. It's normal that tissues give off some colour: this is the leftover of paint the fabric is unable to absorb.
I recommend to add some colorless vinegar in the final rinse so that the colours revive. Ideally, the fabrics are not touching each other so that the colours can not pass from one to another. I recommend to put the silk in a towel to remove moisture and then board. If it is a blouse I recommend to put a towel between the layers so that the color does not cross. All scarves can be dry cleaned with caution as long as there are no metallic colours on the workpiece.
Do not wring or twist, or use the dryer to dry the silk. A good method is to dry the silk between two towels to drain it, leaving it to air dry horizontally. Avoid that parts of fabrics touch each other while the dry as they may discolour.
The ironing of silk is easier if the silk is still slightly damp. Silk should be ironed quickly at medium temperature (between 100 and 160° C), without pressing too much.
Silk should be stored rolled so that the fibers do not suffer the folds and so they do not break. Similarly, using silk scarves, avoid tightening the knots.
If the tissue is to be stored for a long time, you must protect it from light and insects. The silk can keep rolled in a tube in a dry and cool place, avoid using plastic bags because it will impede breathing.