Question 451817
{{{ (y - 4/y) / (1 - 2/y) }}}
Multiply the top and bottom by {{{ y }}}
{{{ (y/y)*(( y - 4/y ) / (1 - 2/y )) = (y^2 - 4) / (y - 2) }}}
{{{ ((y - 2)*(y + 2)) / (y - 2) }}}
Divide top and bottom by {{{ y-2 }}}
{{{ y + 2 }}} answer
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One way to check answer is to pick any number for {{{y}}},
like {{{ y = 11 }}} 
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{{{ (y - 4/y) / (1 - 2/y) }}}
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{{{ (11 - 4/11) / (1 - 2/11) }}}
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{{{ (121/11 - 4/11) / (11/11 - 2/11) }}}
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{{{ (117/11) / (9/11) }}}
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{{{ 117/9  = 13}}}
and
{{{ y + 2 = 11 + 2 }}}
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{{{ 11 + 2 = 13 }}}
OK