breqn package is a package that defines a set of new math environments, with the purpose of enabling automatic line breaking of displayed math. These new environments also let you have
\right on different lines, though it is not the main goal of the package.
Note that the package has several known problems and incompatibilities, so depending on your use case it might not be for you. I recommend a look at the manual.
The example below is one where you definitely shouldn't use
\right in the first place, but it serves to illustrate that it works. The
dmath environment is similar to
55 - \left(1+2+3+4+5+6+7+8+9+10\right) = 0
Manually breaking a line seems to work as well:
55 - \left(1+2+3+4+\\5+6+7+8+9+10\right) = 0