Question

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

$\dfrac{{\text{y}}}{7} + \dfrac{{{\text{y - 4}}}}{7}$= 2.
$\Rightarrow \dfrac{{\text{y}}}{7} + \dfrac{{\text{y}}}{7} - \dfrac{4}{7} = 2 \\ \Rightarrow \dfrac{{2{\text{y}}}}{7} = 2 + \dfrac{4}{7} \\ \Rightarrow \dfrac{{\text{y}}}{7} = 1 + \dfrac{2}{7} \\ \Rightarrow \dfrac{{\text{y}}}{7} = \dfrac{{\left( {7 + 2} \right)}}{7} \\ \Rightarrow \dfrac{{\text{y}}}{7} = \dfrac{9}{7} \\ \Rightarrow {\text{y = 9}} \\$