Question
$$3(y-1) = 3(y+5)$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 3(y-1) &= 3(y+5)&& \text{simplify left and right hand side} \\[1 em]3y-3 &= 3y+15&& \text{move the $ \color{blue}{ 3y } $ to the left side and $ \color{blue}{ -3 }$ to the right} \\[1 em]3y-3y &= 15+3&& \text{simplify left and right hand side} \\[1 em]3y-3y &= 18&& \\[1 em]0 &= 18&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 0 = 18 } $ is FALSE, we conclude that the equation has no solution.
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