Question

solve for y.
\left|3y + 12\
ight| = 6
if there is more than one solution, separate them with commas.
if there is no solution, click on
o solution\.
y =

Explanation:

Step1: Apply absolute value definition

The absolute value equation \(|3y + 12| = 6\) means \(3y + 12 = 6\) or \(3y + 12 = -6\).

Step2: Solve \(3y + 12 = 6\)

Subtract 12 from both sides: \(3y = 6 - 12\)
\(3y = -6\)
Divide by 3: \(y = \frac{-6}{3} = -2\)

Step3: Solve \(3y + 12 = -6\)

Subtract 12 from both sides: \(3y = -6 - 12\)
\(3y = -18\)
Divide by 3: \(y = \frac{-18}{3} = -6\)

Answer:

-2, -6