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