Simplify and solve the linear equation:15(y – 4 ) – 2(y – 9) + 5(… - Vidyadip

Question

Simplify and solve the linear equation:$15(y – 4 ) – 2(y – 9) + 5(y + 6) = 0.$

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Answer

$15( y – 4 ) – 2( y– 9) + 5(y + 6) = 0$
$ \therefore 15y – 60 – 2y + 18 + 5y + 30 = 0$
$ \therefore 18y – 12 = 0$
$ \therefore 18y = 12 ...$ [Transposing $–12 to R.H.S.]$
$\therefore y = \frac{{12}}{{18}} ...$ [Dividing both sides by $18]$
$\therefore y = \frac{2}{3}$ this is the required solution.

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