Solve the equation $13 (y - 4) - 3 (y - 9) - 5 (y + 4) = 0.$

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Solution

Given $13 (y - 4) - 3 (y - 9) - 5 (y + 4) = 0$
Multiply the number outside the bracket to the inside,
$13 y - (13 \times 4) - [3 y - (3 \times 9)] - 5 y - (5 \times 4) = 0$
$13 y - 52 - 3 y + 27 - 5 y - 20 = 0$
take $y$ terms together,
$13 y - 3 y - 5 y - 52 + 27 - 20 = 0$
$5 y - 45 = 0$
$5 y = 45$
$y = \frac{45}{5}$
$∴ y = 9$

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