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# Solve the following equation: - $\dfrac{3y}{2}+\dfrac{y+4}{4}=5-\dfrac{y-2}{4}$.

Last updated date: 20th Jun 2024
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Hint: Multiply both sides of the equation with 4 to get rid of the fractional terms. Now, take the terms containing ‘y’ to the left – hand side. Apply simple addition and subtraction to simplify the terms. Find the value of ‘y’ to get the answer.

We have been provided with the equation: - $\dfrac{3y}{2}+\dfrac{y+4}{4}=5-\dfrac{y-2}{4}$. We have to solve this equation, that means we have to find the value of y.
\begin{align} & \Rightarrow \left( 2\times 3y \right)+\left( y+4 \right)=5\times 4-\left( y-2 \right) \\ & \Rightarrow 6y+y+4=20-y+2 \\ & \Rightarrow 7y+4=22-y \\ \end{align}
\begin{align} & \Rightarrow 7y+y=22-4 \\ & \Rightarrow 8y=18 \\ & \Rightarrow y=\dfrac{18}{8} \\ \end{align}
$\Rightarrow y=\dfrac{9}{4}$
Hence, the value of y is $\dfrac{9}{4}$.