What is the domain of the function $$\ell(y) = \frac{1}{(y-2)+(y+8)}~?$$ Express your answer in interval notation.
\(\ell(y) = \frac{1}{2y+6}\)
The denominator must not equal 0, so the domain is everything that doesn't equal -3.
\(\boxed{x \in (-\infty, -3) \cup (-3, \infty)}\)