Solve for all values of y in simplest form. |y-6|=16 Answer: y=

Understand absolute value equation: Understand the absolute value equation |y-6|=16. The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, |y-6|=16 means that the expression y-6 is 16 units away from zero on the number line. This can happen in two ways: either y-6 is 16 or y-6 is -16.Solve first scenario: Solve the equation for the first scenario where y-6 is 16. y-6 = 16 Add 6 to both sides of the equation to isolate y. y = 16 + 6 y = 22Solve second scenario: Solve the equation for the second scenario where y-6 is -16. y-6 = -16 Add 6 to both sides of the equation to isolate y. y = -16 + 6 y = -10

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Solve for all values of
y in simplest form.

|y-6|=16
Answer:
y=

Solve for all values of $y$ in simplest form. $\newline$ $|y-6|=16$ $\newline$ Answer: $y=$

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Math Problems

Grade 8

Evaluate absolute value expressions

Full solution

Q. Solve for all values of

y

in simplest form.

\newline

|y-6|=16

\newline

Answer:

y=

Understand absolute value equation: Understand the absolute value equation $|y-6|=16$ . The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, $|y-6|=16$ means that the expression $y-6$ is $16$ units away from zero on the number line. This can happen in two ways: either $y-6 = 16$ or $y-6 = -16$ .
Solve first scenario: Solve the equation for the first scenario where $y-6$ is $16$ . $\newline$ $y-6 = 16$ $\newline$ Add $6$ to both sides of the equation to isolate $y$ . $\newline$ $y = 16 + 6$ $\newline$ $y = 22$
Solve second scenario: Solve the equation for the second scenario where $y-6$ is $-16$ . $\newline$ $y-6 = -16$ $\newline$ Add $6$ to both sides of the equation to isolate $y$ . $\newline$ $y = -16 + 6$ $\newline$ $y = -10$