Hydronix, looks like this may be your last round, but let's make sure you can try and survive.

Rest until you're successful in beginning to regain some health, then if you get asleep successfully, Sleep Talk for your remaining actions.

Raven, make sure Hydronix can successfully get to sleep and regain his health from that hard assault, if you see Solvee trying to use Grass Rope on Hydronix, use a Steel Wing to cut through it like a real rope, or if she uses Psychic on him, interrupt her with an Ambush* to knock off her concentration. Otherwise, use a Confuse Ray, then a Dark Pulse, and finally a Night Shade on Solvee.

Hydronix: Rest ~ Sleep Talk (if he successfully goes to sleep)/Rest (if he doesn't successfully go to sleep, but he still has some health remaining) ~ Sleep Talk (if he successfully goes to sleep)/Rest (if he doesn't successfully go to sleep, but he still has some health remaining)

Raven: Confuse Ray (Solvee)/Ambush* (if Solvee uses Psychic on Hydronix)/Steel Wing (if Solvee uses Grass Rope on Hydronix; use to cut through the Grass Rope) ~ Dark Pulse/Ambush* (if Solvee uses Psychic on Hydronix)/Steel Wing (if Solvee uses Grass Rope on Hydronix; use to cut through the Grass Rope) ~ Night Shade/Ambush* (if Solvee uses Psychic on Hydronix)/Steel Wing (if Solvee uses Grass Rope on Hydronix; use to cut through the Grass Rope)

*- this is really Sucker Punch, but since Flying types don't have fists, meh, I couldn't resist calling it Ambush, which makes more sense IMO.