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y=\left(-\frac{8+1}{2}\right)x
Multiply 4 and 2 to get 8.
y=-\frac{9}{2}x
Add 8 and 1 to get 9.
-\frac{9}{2}x=y
Swap sides so that all variable terms are on the left hand side.
\frac{-\frac{9}{2}x}{-\frac{9}{2}}=\frac{y}{-\frac{9}{2}}
Divide both sides of the equation by -\frac{9}{2}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y}{-\frac{9}{2}}
Dividing by -\frac{9}{2} undoes the multiplication by -\frac{9}{2}.
x=-\frac{2y}{9}
Divide y by -\frac{9}{2} by multiplying y by the reciprocal of -\frac{9}{2}.
y=\left(-\frac{8+1}{2}\right)x
Multiply 4 and 2 to get 8.
y=-\frac{9}{2}x
Add 8 and 1 to get 9.