Solve for y y-5/14=-1/7

$y - \frac{5}{14} = - \frac{1}{7}$

Add $\frac{5}{14}$ to both sides of the equation.

$y = - \frac{1}{7} + \frac{5}{14}$

To write $- \frac{1}{7}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$y = - \frac{1}{7} \cdot \frac{2}{2} + \frac{5}{14}$

Write each expression with a common denominator of $14$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{7}$ by $\frac{2}{2}$ .

$y = - \frac{2}{7 \cdot 2} + \frac{5}{14}$

Multiply $7$ by $2$ .

$y = - \frac{2}{14} + \frac{5}{14}$

Combine the numerators over the common denominator.

$y = \frac{- 2 + 5}{14}$

Add $- 2$ and $5$ .

$y = \frac{3}{14}$

The result can be shown in multiple forms.

Exact Form:

$y = \frac{3}{14}$

Decimal Form:

$y = 0.2\overline{142857}$