Question

Solve: $\dfrac{7y}{5}=y-4$

Answer 1

Hint: In this question we have been asked to solve the given algebraic equation $\dfrac{7y}{5}=y-4$ . For doing that we will simplify the given expression by performing some simple arithmetic operations like addition and transform some of the terms from left hand side to right hand side.

Complete step by step answer:
Now considering from the question we have been asked to solve the given al algebraic equation $\dfrac{7y}{5}=y-4$ .
Firstly we will bring all the terms containing variables in the equation to the left hand side by doing that we will have $\Rightarrow \dfrac{7y}{5}-y=-4$ .
Now we will perform subtraction between the like terms of the equation in order to simplify this equation. After doing that we will have $\Rightarrow \dfrac{2y}{5}=-4$ .
Now we will transfer $\dfrac{2}{5}$ from left hand side to the right hand side of the equation by doing that we will have $\Rightarrow y=-4\left( \dfrac{5}{2} \right)$ .
Now we will simplify the right hand side of the equation after doing that we will have $\Rightarrow y=-10$ .

Therefore we can conclude that the solution of the given algebraic equation $\dfrac{7y}{5}=y-4$ is $y=-10$.

Note: While answering questions of this type we should be very careful during the preformation of calculations in between the steps. This is a very simple and easy question and can be answered in a short span of time. Very few mistakes are possible in questions of this type. Someone may perform a calculation mistake and consider it as $\begin{align}
  & \dfrac{7y}{5}=y-4\Rightarrow \dfrac{2y}{5}=-4 \\
 & \Rightarrow y=-20 \\
\end{align}$
which leads them to end up having a wrong conclusion.