Simplify and solve the linear equation: $15 (y - 4) - 2 (y - 9) + 5 (y + 6) = 0$
[2 marks]

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Solution

$15 (y - 4) - 2 (y - 9) + 5 (y + 6) = 0$
$\Rightarrow 15 y - 60 - 2 y + 18 + 5 y + 30 = 0$
[0.5 marks]

$\Rightarrow 18 y - 12 = 0$
[0.5 marks]

$\Rightarrow 18 y = 12$
[0.5 marks]

$\Rightarrow y = \frac{12}{18}$
$\Rightarrow y = \frac{2}{3}$
[0.5 marks]

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