# How do you solve \frac { 7} { 4} = - \frac { 4} { 3} y - \frac { 1} { 2}?

Jul 31, 2017

Arrange the equation and get $y = - \frac{27}{16}$

#### Explanation:

$\frac{7}{4} + \frac{1}{2} = - \left(\frac{4}{3}\right) \times y$

$\frac{7}{4} + \frac{2}{4} = - \left(\frac{4}{3}\right) \times y$

$\frac{9}{4} = - \left(\frac{4}{3}\right) \times y$

$\frac{9 \times 3}{4 \times - 4} = y$

$- \frac{27}{16} = y$

$y = - \frac{27}{16}$