This is a difficult level!
You may have some hope in passing if you're lucky enough to get a good board on which there are not too many iron/mesh clad blocks.
At first try to use the balloons (that only drop in the 5th column) to help clear the mesh off blocks and get your board clear enough to make matches.
Be efficient with moves because they seem very limited, (so don't waste too many trying to get balloons).
Use carefully considered matches, balloons and earned hammers to lower your Pets.
It seems that once 4 pets are saved the number of meshed blocks decrease, the more matches made within the first four columns also keeps the blocks free of mesh.
Often 3 moves are made and no pet(s) fall.
When this happens, passing is unlikely, don't be afraid to quit and try again, (it saves a lot of time and frustration)