Answer
$y=\frac{32}{9}$
Work Step by Step
$4(y-\displaystyle \frac{1}{2})-y=6(5-y)$
We distribute:
$4y-2-y=30-6y$
And simplify:
$3y-2=30-6y$
Combine $y$ terms:
$9y=32$
And solve for $y$:
$y=\frac{32}{9}$
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