Question

solve for y.
$4 = -\frac{6}{y - 5}$
simplify your answer as much as possible.
$y = \square$

Explanation:

Step1: Multiply both sides by $y-5$

$4(y-5) = -\frac{6}{y-5} \times (y-5)$
$4(y-5) = -6$

Step2: Expand left-hand side

$4y - 20 = -6$

Step3: Isolate term with $y$

$4y = -6 + 20$
$4y = 14$

Step4: Solve for $y$

$y = \frac{14}{4} = \frac{7}{2}$

Answer:

$y = \frac{7}{2}$