Local-Level Forecast Then Update

Suppose $x_t=x_{t-1}+w_t$ with $w_t\sim N(0,2)$, and $y_t=x_t+v_t$ with $v_t\sim N(0,3)$. At time $t-1$ the filtered state is $N(7,4)$. You observe $y_t=9$. Compute the predicted mean/variance and the updated mean/variance at time $t$.