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(2/y+2)+(3/y)=(-y/y+2)

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  1. I am sure you meant
    2/(y+2) + 3/y = -y/(y+2)

    common denominator is y(y+2), so multiply each term by that

    2y + 3(y+2) = -y^2
    2y + 3y + 6 = -y^2
    y^2 + 5y + 6 = 0
    (y+2)(y+3) = 0
    y = -2 or y = -3

    but y cannot be -2 or else we are dividing by zero, so
    x = -3

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