That green piece is always going to get in your way. You need to find some way of moving it.
US Version
First, move Professor Layton and Luke over to the left. Then move the red piece down into the bottom-right corner. Now move the blue piece over into the space opened up against the right wall. What's next?
UK Version
First, move Professor Layton and Luke over to the left, then move the red piece down into the bottom-right corner. Now move the blue piece into the space that's opened up against the right wall. What's next?
US Version
Continuing from Hint One, move the orange piece down against the blue piece so that it fits nice and snug. Now you can move that pesky green piece off to the left. Next, move the orange piece up into the space vacated by the green piece. The green piece is now free!
UK Version
Continuing from Hint 1, move the orange piece down against the blue piece so that they fit together snugly. Now you can move that pesky green piece off to the left. Next, move the orange piece up into the space vacated by the green piece. The green piece is now free!
US Version
Continuing from Hint Two, move the green piece down so that you can move the orange piece up into the square at the top. This is a key move. Now raise the green piece...
UK Version
Continuing from Hint 2, move the green piece down so that it's just above the yellow piece. Now you can move the orange piece into the square at the top. This is the key move. Now raise the green piece...
US Version
Continuing from Hint Three, move the yellow piece up above Professor Layton and Luke so that you can move them left one square and up two squares. Then move the red piece over and beneath Professor Layton and Luke, and stach the blue, yellow, and green pieces in the bottom-right corner.
Now the only piece left in the way is the orange one at the top...
UK Version
Continuing from Hint 3, move the yellow piece that's above Professor Layton and Luke so that you can move them left one square and up two squares. Then move the red piece so that it's under Professor Layton and Luke, and stash the blue, yellow and green pieces in the bottom-right corner.
The only piece that's left in the way now is the orange one at the top...