Arrange the following 7 colors in proper order,
from left to right, so that they satisfy the following conditions:
(The colors are blue, brown, green, orange, purple, red, and yellow)
- Purple is somewhere to the left of green.
- Red is next to blue.
- Brown is 3 away from blue (2 between).
- Yellow is 2 away from red.
- Blue is in the middle.
- Orange is directly between yellow and purple.