Answer:
y = -8
y = -4
Explanation:
The equation |6 + y| = 2 can only be true when 6 + y = -2 and 6 + y = 2. This is because:
|-2| = 2
and
|2| = 2
First, lets find for what y values the equation 6 + y = -2 is true. Solve for y:
6 + y = -2
Subtract 6 from both sides.
y = -8
So now we have one of the values of y.
To find the second value of y, we must solve for y in the equation 6 + y = 2:
6 + y = 2
Subtract 6 from both sides.
y = -4
So the two values of y are -8 and -4.
I hope you find my answer and explanation to be helpful. Happy studying.