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\frac{1}{4}x=-\frac{1}{3}y
Subtract \frac{1}{3}y from both sides. Anything subtracted from zero gives its negation.
\frac{1}{4}x=-\frac{y}{3}
The equation is in standard form.
\frac{\frac{1}{4}x}{\frac{1}{4}}=-\frac{\frac{y}{3}}{\frac{1}{4}}
Multiply both sides by 4.
x=-\frac{\frac{y}{3}}{\frac{1}{4}}
Dividing by \frac{1}{4} undoes the multiplication by \frac{1}{4}.
x=-\frac{4y}{3}
Divide -\frac{y}{3} by \frac{1}{4} by multiplying -\frac{y}{3} by the reciprocal of \frac{1}{4}.
\frac{1}{3}y=-\frac{1}{4}x
Subtract \frac{1}{4}x from both sides. Anything subtracted from zero gives its negation.
\frac{1}{3}y=-\frac{x}{4}
The equation is in standard form.
\frac{\frac{1}{3}y}{\frac{1}{3}}=-\frac{\frac{x}{4}}{\frac{1}{3}}
Multiply both sides by 3.
y=-\frac{\frac{x}{4}}{\frac{1}{3}}
Dividing by \frac{1}{3} undoes the multiplication by \frac{1}{3}.
y=-\frac{3x}{4}
Divide -\frac{x}{4} by \frac{1}{3} by multiplying -\frac{x}{4} by the reciprocal of \frac{1}{3}.