How to move a layer with a subject + mask together?

 Hello...

I'm having troubles just to move , more on the right side of canvas, the dog. 
Since I've created also a mask, everytime I try to move the dog, it move just the figure , or the mask, but not both together, so the mask, don't match perfectly anymore the dog, since I have to move it manually. 
I really try all the keys, ctrl , alt, etc.. but nothing to do, to select and move the two things together.

So I will try to ask the forum.. please can you help?

Thank you!

here what happens if I try to select both.. it move only the subject.. or the wallpaper, or sometimes just the mask.. not together... 

I don't want to flatten the image, as I still need the mask...