To determine the value of [tex]\(y\)[/tex] given the equation [tex]\(y = |x| - 6\)[/tex] and [tex]\(x = -12\)[/tex], follow these steps:
1. Identify the value of [tex]\(x\)[/tex]:
[tex]\(x = -12\)[/tex]
2. Find the absolute value of [tex]\(x\)[/tex]:
The absolute value of a number is always positive. Thus,
[tex]\[
|x| = |-12| = 12
\][/tex]
3. Substitute the absolute value into the equation [tex]\(y = |x| - 6\)[/tex]:
[tex]\[
y = 12 - 6
\][/tex]
4. Perform the subtraction:
[tex]\[
y = 6
\][/tex]
Therefore, the value of [tex]\(y\)[/tex] is [tex]\(6\)[/tex].
