Find the value which satisfies these equations $$C = 0.6Y +50$$
$$I=10$$
We want to find the $Y$ for which $Y=C+I$. This is a question in a chapter about discrete dynamic models, so we have to use an appropriate method.
I tried to rewrite it and ended up with $y = 1\dfrac{2}{3} C - 73 \dfrac{1}{3}$, but that was a dead end.

Not really familiar with DDMs, but algebra says:
$$
\begin{align}
Y &= C + I \\
\implies Y &= 0.6Y + 50 + 10 \\
\implies 0.4 Y &= 60 \\
Y &= \dfrac{60*10}{4} \\
&= 150
\end{align}
$$
