5 colours, 16 squares

You are given 16 coloured squares:
4 squares are green,
3 squares red,
3 squares are grey,
3 squares are blue,
3 squares are yellow

Your task is to arrange the squares in a 4 x 4 grid with the following restrictions:
no colour may appear more than once in any horizontal, vertical or diagonal line.

What will your grid look like?

This is a variation of the classic "8 queens on a chess board puzzle".

Problem adapted from the "Coloured Grid" on The Big Giant Brain's Brain Teasers.