For this case we must simplify the following equation:
[tex]- \frac {7} {9} y-4 = \frac {2} {3}y + 9[/tex]
We subtract [tex]\frac {2} {3}y[/tex]on both sides of the equation:
[tex]- \frac {7} {9} y- \frac {2} {3} y-4 = 9[/tex]
Equal signs are added and the same sign is placed:
[tex]\frac {-21-18} {27}y-4 = 9\\\frac {-39} {27}y-4 = 9\\- \frac {13} {9}y-4 = 9[/tex]
We add 4 to both sides of the equation:
[tex]- \frac {13} {9} y = 9 + 4\\- \frac {13} {9} y = 13[/tex]
We multiply by 9 on both sides of the equation:
[tex]-13y = 117[/tex]
We divide between 13 on both sides of the equation:
[tex]-y = \frac {117} {13}\\-y = 9[/tex]
We multiply by -1 on both sides of the equation:
[tex]y = -9[/tex]
ANswer:
[tex]y = -9[/tex]
