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\sin(x^{2})=y\times 2x
Multiply both sides of the equation by 2x.
y\times 2x=\sin(x^{2})
Swap sides so that all variable terms are on the left hand side.
2xy=\sin(x^{2})
The equation is in standard form.
\frac{2xy}{2x}=\frac{\sin(x^{2})}{2x}
Divide both sides by 2x.
y=\frac{\sin(x^{2})}{2x}
Dividing by 2x undoes the multiplication by 2x.