Slider puzzles are the easiest thing ever. It's the same algo to get a piece into place for all the pieces. All you need to know is that algo, and what rows/columns to do in order.. The order is.. Do the top 3 rows first (rows are horizontal), then do the bottom left column with 2 rows. Then the column to the right of that, with 2 rows.. So do the next column to the right, with 2 rows.. Then you have 3 pieces left just work em around until it's done. So what's the algo? All you have to do is look at 6 squares. You need the piece that you want to put in place, and the piece beside it (doesn't matter to the left or right). So for example. x is empty square

[2][6] [1][4] lets put 6 and 3 together.. 3 to the left of 6. [3][x]

[2][6] [2][6] [x][6] [6][x] [6][1] [6][1] [6][1] [1][x] -> [x][1] -> [2][1] -> [2][1] -> [2][x] -> [x][2] ->[3][2] [3][4] [3][4] [3][4] [3][4] [3][4] [3][4] [x][4]

[6][1] [6][1] [6][x] [x][6] [3][6] [3][2] ->[3][x] -> [3][1] ->[3][1] ->[x][1] done :D [4][x] [4][2] [4][2] [4][2] [4][2]

Analysis of what just happened. Once you understand this concept, it's the same for literally every piece of the puzzle. Ok so the first thing you are going to notice is that I put the piece I wanted to get into place in the same row(if it's the top 3 rows we are doing on the puzzle itself, it will need to be in the same column on the bottom 2 rows of the puzzle itself). Then I had the piece beside on the opposite corner of it.. so d= don't care about these pieces at the moment. a = target piece, c = piece beside it, x = space (doesn't matter where it is, as long as it's within the 6 squares.

[d][c] [x][d] so now we have the operation set up to "run a train" [a][d]

So to "run a train", put c in the same column as your target piece a.

[c][d] [d][x] -- good so far [a][d]

now work your target piece underneath the piece that goes beside it

[c][d] [a][x] --- pretty much done now [d][d]

now all you have to do is literally just drag the pieces around in that 4x4 box.. so really you are looking at..

[c][d] [a][x] --- we just need to put it like [a][c].. easy peasy right? just move the space on around. [c][x] ->> [x][c] ->> [a][c] [a][d] [a][d] [x][d]

so now we have successfully managed to put two pieces in the right order in the right row/column. Do this same thing for every other piece of the puzzle, don't worry if a piece is already in place, if there is a piece that needs to beside it, as long as it's within that 6 square box you made, it is fine to move and it will go back into place using this method. If this is still not clear, try using this strategy on http://mypuzzle.org/sliding using a 5x5 puzzle, which is exactly like the game, except instead of pictures it has numbers. If you have any questions, just ask me. If I need to make a video of it, I'll try that out :D Good luck guys!