Question

1. $8 - 6m = 4m + 48$
2. $4y = 38 - \frac{1}{2}(4y + 16)$

Explanation:

Step1: Solve for $m$: Isolate $m$ terms

$8 - 6m + 6m = 4m + 48 + 6m$
$8 = 10m + 48$

Step2: Isolate constant terms

$8 - 48 = 10m + 48 - 48$
$-40 = 10m$

Step3: Solve for $m$

$m = \frac{-40}{10}$

Step4: Solve for $y$: Distribute $\frac{1}{2}$

$4y = 38 - \frac{1}{2}(4y) - \frac{1}{2}(16)$
$4y = 38 - 2y - 8$
$4y = 30 - 2y$

Step5: Isolate $y$ terms

$4y + 2y = 30 - 2y + 2y$
$6y = 30$

Step6: Solve for $y$

$y = \frac{30}{6}$

Answer:

$m = -4$
$y = 5$