Simplify \(48\times \frac{2c}{9}\) to \(\frac{96c}{9}\).
\[2y+\frac{96c}{9}-\frac{c-1}{6}=\frac{c+3}{12}Solvethefollow\imath ng-24\]
Simplify \(\frac{96c}{9}\) to \(\frac{32c}{3}\).
\[2y+\frac{32c}{3}-\frac{c-1}{6}=\frac{c+3}{12}Solvethefollow\imath ng-24\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[2y+\frac{32c}{3}-\frac{c-1}{6}=\frac{(c+3)Solvethefollow\imath ng}{12}-24\]
Regroup terms.
\[2y+\frac{32c}{3}-\frac{c-1}{6}=\frac{lllvthfoowng(c+3)Soee\imath }{12}-24\]
Simplify \(lllvthfoowng(c+3)Soee\imath \) to \({l}^{3}vthf{o}^{2}wng(c+3)Soee\imath \).
\[2y+\frac{32c}{3}-\frac{c-1}{6}=\frac{{l}^{3}vthf{o}^{2}wng(c+3)Soee\imath }{12}-24\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[2y+\frac{32c}{3}-\frac{c-1}{6}=\frac{{l}^{3}vthf{o}^{2}wng(c+3)So{e}^{2}\imath }{12}-24\]
Regroup terms.
\[2y+\frac{32c}{3}-\frac{c-1}{6}=\frac{So{e}^{2}\imath {l}^{3}vthf{o}^{2}wng(c+3)}{12}-24\]
Regroup terms.
\[2y+\frac{32c}{3}-\frac{c-1}{6}=-24+\frac{So{e}^{2}\imath {l}^{3}vthf{o}^{2}wng(c+3)}{12}\]
Subtract \(\frac{32c}{3}\) from both sides.
\[2y-\frac{c-1}{6}=-24+\frac{So{e}^{2}\imath {l}^{3}vthf{o}^{2}wng(c+3)}{12}-\frac{32c}{3}\]
Add \(\frac{c-1}{6}\) to both sides.
\[2y=-24+\frac{So{e}^{2}\imath {l}^{3}vthf{o}^{2}wng(c+3)}{12}-\frac{32c}{3}+\frac{c-1}{6}\]
Divide both sides by \(2\).
\[y=\frac{-24+\frac{So{e}^{2}\imath {l}^{3}vthf{o}^{2}wng(c+3)}{12}-\frac{32c}{3}+\frac{c-1}{6}}{2}\]
Simplify \(\frac{-24+\frac{So{e}^{2}\imath {l}^{3}vthf{o}^{2}wng(c+3)}{12}-\frac{32c}{3}+\frac{c-1}{6}}{2}\) to \(-\frac{24}{2}+\frac{\frac{So{e}^{2}\imath {l}^{3}vthf{o}^{2}wng(c+3)}{12}}{2}-\frac{\frac{32c}{3}}{2}+\frac{\frac{c-1}{6}}{2}\).
\[y=-\frac{24}{2}+\frac{\frac{So{e}^{2}\imath {l}^{3}vthf{o}^{2}wng(c+3)}{12}}{2}-\frac{\frac{32c}{3}}{2}+\frac{\frac{c-1}{6}}{2}\]
Simplify \(\frac{24}{2}\) to \(12\).
\[y=-12+\frac{\frac{So{e}^{2}\imath {l}^{3}vthf{o}^{2}wng(c+3)}{12}}{2}-\frac{\frac{32c}{3}}{2}+\frac{\frac{c-1}{6}}{2}\]
Simplify \(\frac{\frac{So{e}^{2}\imath {l}^{3}vthf{o}^{2}wng(c+3)}{12}}{2}\) to \(\frac{So{e}^{2}\imath {l}^{3}vthf{o}^{2}wng(c+3)}{12\times 2}\).
\[y=-12+\frac{So{e}^{2}\imath {l}^{3}vthf{o}^{2}wng(c+3)}{12\times 2}-\frac{\frac{32c}{3}}{2}+\frac{\frac{c-1}{6}}{2}\]
Simplify \(12\times 2\) to \(24\).
\[y=-12+\frac{So{e}^{2}\imath {l}^{3}vthf{o}^{2}wng(c+3)}{24}-\frac{\frac{32c}{3}}{2}+\frac{\frac{c-1}{6}}{2}\]
Simplify \(\frac{\frac{32c}{3}}{2}\) to \(\frac{32c}{3\times 2}\).
\[y=-12+\frac{So{e}^{2}\imath {l}^{3}vthf{o}^{2}wng(c+3)}{24}-\frac{32c}{3\times 2}+\frac{\frac{c-1}{6}}{2}\]
Simplify \(3\times 2\) to \(6\).
\[y=-12+\frac{So{e}^{2}\imath {l}^{3}vthf{o}^{2}wng(c+3)}{24}-\frac{32c}{6}+\frac{\frac{c-1}{6}}{2}\]
Simplify \(\frac{32c}{6}\) to \(\frac{16c}{3}\).
\[y=-12+\frac{So{e}^{2}\imath {l}^{3}vthf{o}^{2}wng(c+3)}{24}-\frac{16c}{3}+\frac{\frac{c-1}{6}}{2}\]
Simplify \(\frac{\frac{c-1}{6}}{2}\) to \(\frac{c-1}{6\times 2}\).
\[y=-12+\frac{So{e}^{2}\imath {l}^{3}vthf{o}^{2}wng(c+3)}{24}-\frac{16c}{3}+\frac{c-1}{6\times 2}\]
Simplify \(6\times 2\) to \(12\).
\[y=-12+\frac{So{e}^{2}\imath {l}^{3}vthf{o}^{2}wng(c+3)}{24}-\frac{16c}{3}+\frac{c-1}{12}\]
y=-12+(So*e^2*IM*l^3*v*t*h*f*o^2*w*n*g*(c+3))/24-(16*c)/3+(c-1)/12
