$$ \begin{aligned} 7y+5-3y+1 &= 2y+2&& \text{simplify left side} \\[1 em]4y+6 &= 2y+2&& \text{move the $ \color{blue}{ 2y } $ to the left side and $ \color{blue}{ 6 }$ to the right} \\[1 em]4y-2y &= 2-6&& \text{simplify left and right hand side} \\[1 em]2y &= -4&& \text{ divide both sides by $ 2 $ } \\[1 em]y &= -\frac{4}{2}&& \\[1 em]y &= -2&& \\[1 em] \end{aligned} $$

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