Backward Euler Method - solving algebraically

Question

One of my notes mention that it is "not allowed to solve a Backward Euler Method algebraically"

I have my doubts; for example

$y'(t) = y(t) + 2$

$y(0) = 1$

Then we can compute, with $h = 0.1$

$y_1 = y_0 + h \cdot f(t_1,y_1) = 1 + 0.1(y_1 + 2)$

So is it not allowed to solve the equation above algebraically..? Or did my notes make some sort of typo..?

Thanks a lot!