Remove parentheses.
\[0.3\times \frac{1.5y+6.5}{0.4}+0.2y-0.9=0\]
Simplify \(0.3\times \frac{1.5y+6.5}{0.4}\) to \(\frac{0.3(1.5y+6.5)}{0.4}\).
\[\frac{0.3(1.5y+6.5)}{0.4}+0.2y-0.9=0\]
Simplify \(\frac{0.3(1.5y+6.5)}{0.4}\) to \(0.75(1.5y+6.5)\).
\[0.75(1.5y+6.5)+0.2y-0.9=0\]
Expand.
\[1.125y+4.875+0.2y-0.9=0\]
Simplify \(1.125y+4.875+0.2y-0.9\) to \(1.325y+3.975\).
\[1.325y+3.975=0\]
Subtract \(3.975\) from both sides.
\[1.325y=-3.975\]
Divide both sides by \(1.325\).
\[y=-\frac{3.975}{1.325}\]
Simplify \(\frac{3.975}{1.325}\) to \(3\).
\[y=-3\]
y=-3
