下列变形错误的是（    ）

A：$\frac{-4x^3{y}^2}{2x^3{y}^6}=-\frac{2}{y^4}$

B：$\frac{{\left(x-y\right)}^3}{{\left(y-x\right)}^3}=-1$

C：$\frac{12x^3{\left(a-b\right)}^2}{27\left(a-b\right)}=\frac{4x^3\left(a-b\right)}{9}$

D：$\frac{3x^{2}y{\left(a-1\right)}^2}{9x{y}^2{\left(1-a\right)}^2}=-\frac{x}{3y}$