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y=-\frac{1}{4}x-6
Fraction \frac{-1}{4} can be rewritten as -\frac{1}{4} by extracting the negative sign.
-\frac{1}{4}x-6=y
Swap sides so that all variable terms are on the left hand side.
-\frac{1}{4}x=y+6
Add 6 to both sides.
\frac{-\frac{1}{4}x}{-\frac{1}{4}}=\frac{y+6}{-\frac{1}{4}}
Multiply both sides by -4.
x=\frac{y+6}{-\frac{1}{4}}
Dividing by -\frac{1}{4} undoes the multiplication by -\frac{1}{4}.
x=-4y-24
Divide y+6 by -\frac{1}{4} by multiplying y+6 by the reciprocal of -\frac{1}{4}.
y=-\frac{1}{4}x-6
Fraction \frac{-1}{4} can be rewritten as -\frac{1}{4} by extracting the negative sign.