Help with muting while bending
 

So I am learning life is a highway by Rascal flatts and I'm on the solo section. It calls for 5 unison bends on high e on 10 and bending the b string on 13. I can do a unison bend fine but when I have to do 5 consecutive, I'm having trouble muting it so I don't get the sound of the bend coming down and back up again and my left hand seems to wanna give out after the third one - my fingers slip off. Any tips?? Should I mute with the right hand when coming back down slightly?