Question

How do you solve $4y - \dfrac{1}{{10}} = 3y + \dfrac{4}{5}$? 

Answer 1

Hint: In the question we have to solve the expression which is $4y - \dfrac{1}{{10}} = 3y + \dfrac{4}{5}$ or we have to determine the value of y. So, first of all we have to take all the variables in any one side of the expression, which means we can take the given variable to the right hand side or to the left hand side. Then simplify the expression to get the answer.

Complete step-by-step answer:

Step 1: First of all we have to take all the variables in any one side of the expression, 

$ \Rightarrow 4y - 3y = \dfrac{4}{5} + \dfrac{1}{{10}}.................(1)$

Step 2: Now, we have to add or subtract the terms which can be subtracted or added in the expression (1) obtained after taking the variable in the same side. Hence, 

$ \Rightarrow y = \dfrac{4}{5} + \dfrac{1}{{10}}.................(2)$

Step 3: Now, to solve the expression (2) we have to find the L.C.M of the constant terms so that we can easily determine the value of the variable which is y according to the given expression. Hence, 

$   \Rightarrow y = \dfrac{{8 + 1}}{{10}} $

$   \Rightarrow y = \dfrac{9}{{10}}  $

Hence, the value of y from the equation $4y - \dfrac{1}{{10}} = 3y + \dfrac{4}{5}$ is $y = \dfrac{9}{{10}}$.

Note:

To determine the value of the variable y which is as given in the question it is necessary that we have to take both of the variables in the same side of the expression and then we have to solve the expression.