[tex]f)\ \ \dfrac{-6y-2x(y-x)+2y(x+3)}{2x}=\dfrac{-\not6y-\not2xy+2x^2+\not2xy+\not6y}{2x}=\dfrac{2x^2}{2x}=\\\\\\=\dfrac{x^2}{x}=x\\\\\\g)\ \ 3y-\dfrac{3x-2y}{3}=\dfrac{3y}{1}-\dfrac{3x-2y}{3}=\dfrac{9y-3x+2y}{3}=\dfrac{11y-3x}{3}\\\\\\h)\ \ 2x(3x-0,5y)-\dfrac{x(y-2)}{0,5}=6x^2-xy-\dfrac{xy-2x}{\frac{1}{2}}=6x^2-xy-(xy-2x):\frac{1}{2}=\\\\=6x^2-xy-(xy-2x)\cdot2=6x^2-xy-2xy+4x=6x^2-3xy+4x[/tex]
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[tex]f)\ \ \dfrac{-6y-2x(y-x)+2y(x+3)}{2x}=\dfrac{-\not6y-\not2xy+2x^2+\not2xy+\not6y}{2x}=\dfrac{2x^2}{2x}=\\\\\\=\dfrac{x^2}{x}=x\\\\\\g)\ \ 3y-\dfrac{3x-2y}{3}=\dfrac{3y}{1}-\dfrac{3x-2y}{3}=\dfrac{9y-3x+2y}{3}=\dfrac{11y-3x}{3}\\\\\\h)\ \ 2x(3x-0,5y)-\dfrac{x(y-2)}{0,5}=6x^2-xy-\dfrac{xy-2x}{\frac{1}{2}}=6x^2-xy-(xy-2x):\frac{1}{2}=\\\\=6x^2-xy-(xy-2x)\cdot2=6x^2-xy-2xy+4x=6x^2-3xy+4x[/tex]