Answer :

Given:

[tex]w=\frac{x-y}{2}-z[/tex]

let us solve for y,

[tex]\begin{gathered} w=\frac{x-y}{2}-z \\ w=\frac{x-y-2z}{2} \\ 2w=x-y-2z \\ y=x-2z-2w \\ y=x-2(z+w) \end{gathered}[/tex]

Thus the answer is,

[tex]y=x-2(w+z)[/tex]

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