Answer
$y=\frac{4x}{5}-2$
Work Step by Step
By subtracting $4x$ from each side and then dividing each side by $-5$, we get
$$4x-5y=10\Longrightarrow -5y=10-42x \\
\Longrightarrow y=-\frac{10-4x}{5}=\frac{4x}{5}-2
.$$
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