How do you solve for y in $y - z = 5 - 1/2y$ ?

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Answer 1 · 2016-05-12T17:08:03

$color(green)(y = 2 / 3 (5 + z)$

$y -z = 5 - 1 / 2 y$

$color(green)(y) -z = 5 - color(green)(1 / 2 y$

$color(green)((y + 1 / 2 y ) = 5 + z$

$2 /2y + 1 / 2 y = 5 + z$

$3/2y = 5 + z$

$color(green)(y = 2 / 3 (5 + z)$

How do you solve for y in y - z = 5 - 1/2yy - z = 5 - 1/2y?