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Solve the following linear equation for y,
$\dfrac{{\text{y}}}{7} + \dfrac{{{\text{y - 4}}}}{7}$= 2.

Last updated date: 14th Jul 2024
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Hint: Using the given equation, we reduce it in such a way that all y terms are on the left hand side of the equation and others on the right hand side. Then we solve for the answer.

Complete step-by-step answer:
Given Data,
$\dfrac{{\text{y}}}{7} + \dfrac{{{\text{y - 4}}}}{7}$= 2.
   \Rightarrow \dfrac{{\text{y}}}{7} + \dfrac{{\text{y}}}{7} - \dfrac{4}{7} = 2 \\
   \Rightarrow \dfrac{{2{\text{y}}}}{7} = 2 + \dfrac{4}{7} \\
   \Rightarrow \dfrac{{\text{y}}}{7} = 1 + \dfrac{2}{7} \\
   \Rightarrow \dfrac{{\text{y}}}{7} = \dfrac{{\left( {7 + 2} \right)}}{7} \\
   \Rightarrow \dfrac{{\text{y}}}{7} = \dfrac{9}{7} \\
   \Rightarrow {\text{y = 9}} \\
Hence, the value of y is 9.

Note: In order to solve this type of question, it is important to rearrange the unknown variable to one side of the equation. That way, the other side of the equation can be solved to obtain the answer.