\(\begin{array}{l} y\left( s \right) = \frac{{s + 2}}{{s + 6}}\\ y\left( s \right) = \frac{{s + 2 + 4 - 4}}{{s + 6}}\\ = 1 - \frac{4}{{s + 6}} \end{array}\)
Apply inverse Laplace transform,
⇒ y(t) = δ(t) - 4e-6t 4(t)
At,
t = 0.1
⇒ y(0.1) = δ(0.1) - 4e-6(0.1) u(0.1)
= 0 - 4e
-0.6 = -2.195