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You are told that there are four shapes representing columns and four colors/patterns representing rows. That means the cards should be arranged in a 4x4 grid.
Very few cards tell you exactly their shape and color, and at the start, you don't even know which shape is which column or which color is which row. Most references are indirect. You'll have to use logic and clues to figure out where everything goes.
You only have fourteen cards to work with, so that means there are two empty spaces in the 4x4 grid. Many of the cards hint at where those spaces are located.
Each of the empty spaces has a different name. One is a 'blank,' and the other is a 'hole.'
The four digits of the solution are given on one of the cards, referenced by their shape and color/pattern. That means you need to figure out the system to find those cards.
Starting with the empty spaces and the cards around them is a good way to get two chunks of the grid figured out. It will also tell you more about how the colors and shapes are oriented relative to each other. Eventually you'll be able to build onto them and combine the chunks into the final map.
The 9 card tells you the shape and color of two of the other numeric squares (which are 0, 1, and 4). 0 can't be one of those mentioned, because the 0 card tells you it's a triangle. Therefore, 1 and 4 are in the solution.
The 1 card tells you it is to the right of the Blank and that the green cards add up to 15. The 6 card tells you it's a green. Because there are only four spots in the row, and you know three of them are 1, blank, and 6, the other green card must be 8.
2 and 7 are red. 6, 8, and 1 are green. 4, 0, and 5 are blue. 9 and 3 are yellow. 2, 6, 9, and the Moon are squares. 8 and 4 are circles. 7, 0, and 3 are triangles. 1 and 5 are crosses/pluses.