$$ \begin{aligned} 7y+4 &= 6y-9&& \text{move the $ \color{blue}{ 6y } $ to the left side and $ \color{blue}{ 4 }$ to the right} \\[1 em]7y-6y &= -9-4&& \text{simplify left and right hand side} \\[1 em]y &= -13&& \\[1 em]y &= -13&& \\[1 em] \end{aligned} $$