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y\left(-x+14\right)=7
Variable x cannot be equal to 14 since division by zero is not defined. Multiply both sides of the equation by -x+14.
-yx+14y=7
Use the distributive property to multiply y by -x+14.
-yx=7-14y
Subtract 14y from both sides.
\left(-y\right)x=7-14y
The equation is in standard form.
\frac{\left(-y\right)x}{-y}=\frac{7-14y}{-y}
Divide both sides by -y.
x=\frac{7-14y}{-y}
Dividing by -y undoes the multiplication by -y.
x=14-\frac{7}{y}
Divide 7-14y by -y.
x=14-\frac{7}{y}\text{, }x\neq 14
Variable x cannot be equal to 14.