Answer
$16$
Work Step by Step
We need to solve each equation first before the solutions can be summed up.
Let's look at the first equation.
Divide each side of the equation by $3$ to isolate the absolute value expression:
$|y - 4| = 3$
To get rid of the absolute value sign, we use the definition of absolute value to rewrite the equation as two equations:
$y - 4 = -3$ or $y - 4 = 3$
Add $4$ to each side of the equation:
$y = 1$ or $y = 7$
Let's look at the second equation.
To get rid of the absolute value sign, we use the definition of absolute value to rewrite the equation as two equations:
$y - 4 = -3$ or $y - 4 = 3$
Add $4$ to each side of the equation:
$y = 1$ or $y = 7$
Let's add all the solutions together:
sum = $1 + 7 + 1 + 7$
Add to simplify:
sum = $16$
