Question
$$11y+7-3y = 8y+31$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 11y+7-3y &= 8y+31&& \text{simplify left side} \\[1 em]8y+7 &= 8y+31&& \text{move the $ \color{blue}{ 8y } $ to the left side and $ \color{blue}{ 7 }$ to the right} \\[1 em]8y-8y &= 31-7&& \text{simplify left and right hand side} \\[1 em]8y-8y &= 24&& \\[1 em]0 &= 24&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 0 = 24 } $ is FALSE, we conclude that the equation has no solution.
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