QUESTION

# Determine the value of y:$15\left( {y - 4} \right) - 2\left( {y - 9} \right) + 5\left( {y + 6} \right) = 0$${\text{A}}{\text{. y = }}\dfrac{1}{7} \\ {\text{B}}{\text{. y = }}\dfrac{3}{5} \\ {\text{C}}{\text{. y = }}\dfrac{5}{2} \\ {\text{D}}{\text{. y = }}\dfrac{2}{3} \\$

Hint: To solve this question first we have to expand the equation completely and then do a simplification.

$15\left( {y - 4} \right) - 2\left( {y - 9} \right) + 5\left( {y + 6} \right) = 0$
$\Rightarrow 15y - 60 - 2y + 18 + 5y + 30 = 0 \\ \Rightarrow 18y - 12 = 0 \\ \Rightarrow y = \dfrac{{12}}{{18}} = \dfrac{2}{3} \\ \\$