Question

-7/9y - 4 = 2/3y + 9

Answer 1

For this case we must simplify the following equation:

$- \frac {7} {9} y-4 = \frac {2} {3}y + 9$

We subtract $\frac {2} {3}y$on both sides of the equation:

$- \frac {7} {9} y- \frac {2} {3} y-4 = 9$

Equal signs are added and the same sign is placed:

$\frac {-21-18} {27}y-4 = 9\\\frac {-39} {27}y-4 = 9\\- \frac {13} {9}y-4 = 9$

We add 4 to both sides of the equation:

$- \frac {13} {9} y = 9 + 4\\- \frac {13} {9} y = 13$

We multiply by 9 on both sides of the equation:

$-13y = 117$

We divide between 13 on both sides of the equation:

$-y = \frac {117} {13}\\-y = 9$

We multiply by -1 on both sides of the equation:

$y = -9$

ANswer:

$y = -9$