$$ \begin{aligned} 13 &= 4y-9&& \text{ swap the left and right side of the equation } \\[1 em]4y-9 &= 13&& \text{ move -9 to the right } \\[1 em]4y &= 13+9&& \\[1 em]4y &= 22&& \text{ divide both sides by $ 4 $ } \\[1 em]y &= \frac{22}{4}&& \\[1 em]y &= \frac{11}{2}&& \\[1 em] \end{aligned} $$