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x\times 2y=\cos(x)
Multiply both sides of the equation by x^{2}, the least common multiple of x,x^{2}.
2xy=\cos(x)
The equation is in standard form.
\frac{2xy}{2x}=\frac{\cos(x)}{2x}
Divide both sides by 2x.
y=\frac{\cos(x)}{2x}
Dividing by 2x undoes the multiplication by 2x.