QuestionSolve the equation: 24(y+2) = 3(7y+8)

Studdy Solution

STEP 1

Assumptions1. We are given the equation $24(y+)=3(7y+8)$ . We are solving for the variable $y$

STEP 2

First, we need to distribute the numbers outside the parentheses on both sides of the equation.
$24y +48 =21y +24$

STEP 3

Next, we need to get all terms with $y$ on one side of the equation and the constants on the other side. We can do this by subtracting $21y$ from both sides of the equation.
$24y -21y =24 -48$

STEP 4

implify the equation.
$3y = -24$

STEP 5

Finally, we can solve for $y$ by dividing both sides of the equation by3.
$y = -24 /3$

STEP 6

Calculate the value of $y$ .
$y = -24 /3 = -8$ So, the solution to the equation is $y = -8$ .

Was this helpful?

QuestionSolve the equation: 24(y+2) = 3(7y+8)

Studdy Solution

STEP 1

Assumptions1. We are given the equation $24(y+)=3(7y+8)$ . We are solving for the variable $y$

STEP 2

First, we need to distribute the numbers outside the parentheses on both sides of the equation.
$24y +48 =21y +24$

STEP 3

Next, we need to get all terms with $y$ on one side of the equation and the constants on the other side. We can do this by subtracting $21y$ from both sides of the equation.
$24y -21y =24 -48$

STEP 4

implify the equation.
$3y = -24$

STEP 5

Finally, we can solve for $y$ by dividing both sides of the equation by3.
$y = -24 /3$

STEP 6

Calculate the value of $y$ .
$y = -24 /3 = -8$ So, the solution to the equation is $y = -8$ .

Get Studdy

Studdy solves anything!

Start learning now

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

QuestionSolve the equation: 24(y+2) = 3(7y+8)

Studdy Solution

STEP 1

Assumptions1. We are given the equation 24(y+)=3(7y+8)24(y+)=3(7y+8)24(y+)=3(7y+8). We are solving for the variable yyy

STEP 2

First, we need to distribute the numbers outside the parentheses on both sides of the equation.24y+48=21y+2424y +48 =21y +2424y+48=21y+24

STEP 3

Next, we need to get all terms with yyy on one side of the equation and the constants on the other side. We can do this by subtracting 21y21y21y from both sides of the equation.24y−21y=24−4824y -21y =24 -4824y−21y=24−48

STEP 4

implify the equation.3y=−243y = -243y=−24

STEP 5

Finally, we can solve for yyy by dividing both sides of the equation by3.y=−24/3y = -24 /3y=−24/3

STEP 6

Calculate the value of yyy.y=−24/3=−8y = -24 /3 = -8y=−24/3=−8So, the solution to the equation is y=−8y = -8y=−8.

Get Studdy

Studdy solves anything!

Start learning now

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

Assumptions1. We are given the equation $24(y+)=3(7y+8)$ . We are solving for the variable $y$

First, we need to distribute the numbers outside the parentheses on both sides of the equation.
$24y +48 =21y +24$

Next, we need to get all terms with $y$ on one side of the equation and the constants on the other side. We can do this by subtracting $21y$ from both sides of the equation.
$24y -21y =24 -48$

implify the equation.
$3y = -24$

Finally, we can solve for $y$ by dividing both sides of the equation by3.
$y = -24 /3$

Calculate the value of $y$ .
$y = -24 /3 = -8$ So, the solution to the equation is $y = -8$ .