Note, do note read ahead if you still want to complete the puzzle.
We start off with the puzzle
I’m going to load it into Paint.NET a free image editting tool that allows me to fill based on similarity. It allows me to just click on a square and it get filled. I know straight off the bat two of the rows because they are the only possible solutions. Initial points are marked in black, from that we can find out the rows in blue and from the rows in blue, we can work out pink. The light yellow is then used to point out places that cannot have dots on them.
From there we can then get the rest of them relatively easily:
Now we have the puzzle done, we have to work out the message. The puzzle is seven long, and seven is quite a significant number. The minimum number of bits ASCII can be stored. Converting each of the points to 1, and the empty squares to 0 (as well as appending a 0 to make a nice byte):
01100001 01101110 01110011 01110111 01100101 01110010 00100000 01101001 01110011 00100000 00100010 01000010 01110101 01101101 01100010 01101100 01100101 01100010 01100101 01100101 00100010
Using our favourite binary to ascii converter, we get the following phrase:
answer is "Bumblebee"