Question
Solve: $15(y - 4) - 2(y - 9) + 5(y + 6) = 0$
✓
Answer
$15(\text{y} - 4) - 2(\text{y} - 9) + 5(\text{y} + 6) = 0$
$\Rightarrow 15\text{y} - 60 - 2\text{y} + 18 + 5\text{y} + 30 = 0$
$\Rightarrow15\text{y} - 2\text{y} + 5\text{y} -60 + 18 + 30 = 0$
$\Rightarrow18\text{y} - 12 = 0$
$\Rightarrow18\text{y} = 12 $
$\Rightarrow \text{y} = \frac{12}{18} = \frac{2}{3}$
$\therefore \text{y} = \frac{2}{3} $
$\Rightarrow 15\text{y} - 60 - 2\text{y} + 18 + 5\text{y} + 30 = 0$
$\Rightarrow15\text{y} - 2\text{y} + 5\text{y} -60 + 18 + 30 = 0$
$\Rightarrow18\text{y} - 12 = 0$
$\Rightarrow18\text{y} = 12 $
$\Rightarrow \text{y} = \frac{12}{18} = \frac{2}{3}$
$\therefore \text{y} = \frac{2}{3} $
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