# How do you solve (9y)/14 + 3/7- =9/14?

Mar 19, 2016

$y = 0 , \overline{3}$

#### Explanation:

$\frac{9 y}{14} = \frac{9}{14} - \frac{3}{7}$

$\frac{9 y}{\cancel{14}} = \frac{\left(7 \cdot 9\right) - \left(3 \cdot 14\right)}{\cancel{14} \cdot 7}$

$y = \frac{\left(7 \cdot 9\right) - \left(3 \cdot 14\right)}{9 \cdot 7}$
$y = \frac{63 - 42}{63}$
$y = 0 , \overline{3}$

Mar 19, 2016

y = $\frac{1}{3}$

#### Explanation:

$\frac{9 y}{14} + \frac{3}{7} = \frac{9}{14}$

Firstly change all denominators to 14 g
giving
$\frac{9 y}{14} + \frac{6}{14} = \frac{9}{14}$
Now you can ignore the denominators to get
9y + 6 = 9
Subtract 6 from both sides
9y = 3
Divide both sides by 9
y = $\frac{3}{9}$
which simplifies to
y = $\frac{1}{3}$