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-\frac{3}{4}x+\frac{25}{18}=y
Swap sides so that all variable terms are on the left hand side.
-\frac{3}{4}x=y-\frac{25}{18}
Subtract \frac{25}{18} from both sides.
\frac{-\frac{3}{4}x}{-\frac{3}{4}}=\frac{y-\frac{25}{18}}{-\frac{3}{4}}
Divide both sides of the equation by -\frac{3}{4}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y-\frac{25}{18}}{-\frac{3}{4}}
Dividing by -\frac{3}{4} undoes the multiplication by -\frac{3}{4}.
x=-\frac{4y}{3}+\frac{50}{27}
Divide y-\frac{25}{18} by -\frac{3}{4} by multiplying y-\frac{25}{18} by the reciprocal of -\frac{3}{4}.