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Select the correct answer. Given the following formula, solve for y. y 2 O A. y = 2(0 + 2) - 2 OB. y = 2w + 2 – I O Oc. y = x - (20 + 2) OD. y = r - 2W + 2)

1 Answer

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\begin{gathered} w=(x-y)/(2)-z \\ \text{add z to both sides of the equation} \\ w+z=(x-y)/(2)-z+z \\ w+z=(x-y)/(2) \\ \text{cross multiply} \\ 2(w+z)=x-y \\ 2w+2z=x-y \\ \text{subtract x from both sides} \\ 2w+2z-x=x-x-y \\ 2w+2z-x=-y \\ multiply\text{ both sides by -1} \\ x-2w-2z=y \\ y=x-2w-2z \\ y=x-2(w+z) \end{gathered}

The answer is D

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