I would like to include the equations as the same as belows:
However, my code got me something very ugly:
\begin{equation}
Forecast Equation: \hat{y}_{t+1|t} = l_t
\end{equation}
\begin{equation}
Smoothing Equation: l_t = \alpha y_t + (1-\alpha) l_{t-1},
\end{equation}
Does anyone can help me with this?
I would like to only give a number to an equation if I will refer to it later, then how to delete the number after the equation if I do not need it now?
The final question, how to align my equation to right, rather than centralise them?


