Solved on Sep 18, 2023

Solve for $y$ when $-2|4y+8|=0$ . Find all solutions or click "No solution" if none exist.

STEP 1

Assumptions1. We are given the equation $-|4 y+8|=0$ . We are solving for $y$

STEP 2

First, we need to isolate the absolute value expression. We can do this by dividing both sides of the equation by $-2$ .
$|4 y+8|=0$

STEP 3

The absolute value of a number is always non-negative. That means it can either be zero or a positive number. In this case, the absolute value is equal to zero. Therefore, the expression inside the absolute value must also be zero.
$y+8=0$

STEP 4

Now, we can solve for $y$ by subtracting $8$ from both sides of the equation.
$4 y = -8$

STEP 5

Finally, we divide both sides of the equation by $4$ to solve for $y$ .
$y = -8 /4$

STEP 6

Calculate the value of $y$ .
$y = -8 /4 = -2$ So the solution to the equation is $y = -2$ .

Was this helpful?

Solve for $y$ when $-2|4y+8|=0$ . Find all solutions or click "No solution" if none exist.

STEP 1

Assumptions1. We are given the equation $-|4 y+8|=0$ . We are solving for $y$

STEP 2

First, we need to isolate the absolute value expression. We can do this by dividing both sides of the equation by $-2$ .
$|4 y+8|=0$

STEP 3

The absolute value of a number is always non-negative. That means it can either be zero or a positive number. In this case, the absolute value is equal to zero. Therefore, the expression inside the absolute value must also be zero.
$y+8=0$

STEP 4

Now, we can solve for $y$ by subtracting $8$ from both sides of the equation.
$4 y = -8$

STEP 5

Finally, we divide both sides of the equation by $4$ to solve for $y$ .
$y = -8 /4$

STEP 6

Calculate the value of $y$ .
$y = -8 /4 = -2$ So the solution to the equation is $y = -2$ .

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Solve for yyy when −2∣4y+8∣=0-2|4y+8|=0−2∣4y+8∣=0. Find all solutions or click "No solution" if none exist.

STEP 1

Assumptions1. We are given the equation −∣4y+8∣=0-|4 y+8|=0−∣4y+8∣=0 . We are solving for yyy

STEP 2

First, we need to isolate the absolute value expression. We can do this by dividing both sides of the equation by −2-2−2.∣4y+8∣=0|4 y+8|=0∣4y+8∣=0

STEP 3

The absolute value of a number is always non-negative. That means it can either be zero or a positive number. In this case, the absolute value is equal to zero. Therefore, the expression inside the absolute value must also be zero.y+8=0 y+8=0y+8=0

STEP 4

Now, we can solve for yyy by subtracting 888 from both sides of the equation.4y=−84 y = -84y=−8

STEP 5

Finally, we divide both sides of the equation by 444 to solve for yyy.y=−8/4y = -8 /4y=−8/4

STEP 6

Calculate the value of yyy.y=−8/4=−2y = -8 /4 = -2y=−8/4=−2So the solution to the equation is y=−2y = -2y=−2.

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Solve for $y$ when $-2|4y+8|=0$ . Find all solutions or click "No solution" if none exist.

Assumptions1. We are given the equation $-|4 y+8|=0$ . We are solving for $y$

First, we need to isolate the absolute value expression. We can do this by dividing both sides of the equation by $-2$ .
$|4 y+8|=0$

The absolute value of a number is always non-negative. That means it can either be zero or a positive number. In this case, the absolute value is equal to zero. Therefore, the expression inside the absolute value must also be zero.
$y+8=0$

Now, we can solve for $y$ by subtracting $8$ from both sides of the equation.
$4 y = -8$

Finally, we divide both sides of the equation by $4$ to solve for $y$ .
$y = -8 /4$

Calculate the value of $y$ .
$y = -8 /4 = -2$ So the solution to the equation is $y = -2$ .