$$ \begin{aligned} 3y+2 &= 4y+4&& \text{move the $ \color{blue}{ 4y } $ to the left side and $ \color{blue}{ 2 }$ to the right} \\[1 em]3y-4y &= 4-2&& \text{simplify left and right hand side} \\[1 em]-y &= 2&& \text{switch signs on both sides} \\[1 em]y &= -2&& \\[1 em] \end{aligned} $$