Solved on Jan 23, 2024

Solve the equation $-3(3y+8)=48$ and express the solution as an integer or simplified fraction.

STEP 1

Assumptions
1. We are given the equation $-3(3y + 8) = 48$ .
2. We need to solve for $y$ .
3. The solution should be expressed as an integer or a simplified fraction.

STEP 2

First, we need to distribute the $-3$ across the terms inside the parentheses.
$-3 \times 3y + (-3) \times 8 = 48$

STEP 3

Perform the multiplication to simplify the left side of the equation.
$-9y - 24 = 48$

STEP 4

Next, we need to isolate the term containing $y$ by adding $24$ to both sides of the equation.
$-9y - 24 + 24 = 48 + 24$

STEP 5

Simplify both sides of the equation.
$-9y = 72$

STEP 6

Now, we need to solve for $y$ by dividing both sides of the equation by $-9$ .
$\frac{-9y}{-9} = \frac{72}{-9}$

STEP 7

Calculate the division to find the value of $y$ .
$y = -8$
The solution set is $y = -8$ .

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Solve the equation $-3(3y+8)=48$ and express the solution as an integer or simplified fraction.

STEP 1

Assumptions
1. We are given the equation $-3(3y + 8) = 48$ .
2. We need to solve for $y$ .
3. The solution should be expressed as an integer or a simplified fraction.

STEP 2

First, we need to distribute the $-3$ across the terms inside the parentheses.
$-3 \times 3y + (-3) \times 8 = 48$

STEP 3

Perform the multiplication to simplify the left side of the equation.
$-9y - 24 = 48$

STEP 4

Next, we need to isolate the term containing $y$ by adding $24$ to both sides of the equation.
$-9y - 24 + 24 = 48 + 24$

STEP 5

Simplify both sides of the equation.
$-9y = 72$

STEP 6

Now, we need to solve for $y$ by dividing both sides of the equation by $-9$ .
$\frac{-9y}{-9} = \frac{72}{-9}$

STEP 7

Calculate the division to find the value of $y$ .
$y = -8$
The solution set is $y = -8$ .

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Solve the equation −3(3y+8)=48-3(3y+8)=48−3(3y+8)=48 and express the solution as an integer or simplified fraction.

STEP 1

Assumptions1. We are given the equation −3(3y+8)=48-3(3y + 8) = 48−3(3y+8)=48.2. We need to solve for yyy.3. The solution should be expressed as an integer or a simplified fraction.

STEP 2

First, we need to distribute the −3-3−3 across the terms inside the parentheses.−3×3y+(−3)×8=48-3 \times 3y + (-3) \times 8 = 48−3×3y+(−3)×8=48

STEP 3

Perform the multiplication to simplify the left side of the equation.−9y−24=48-9y - 24 = 48−9y−24=48

STEP 4

Next, we need to isolate the term containing yyy by adding 242424 to both sides of the equation.−9y−24+24=48+24-9y - 24 + 24 = 48 + 24−9y−24+24=48+24

STEP 5

Simplify both sides of the equation.−9y=72-9y = 72−9y=72

STEP 6

Now, we need to solve for yyy by dividing both sides of the equation by −9-9−9.−9y−9=72−9\frac{-9y}{-9} = \frac{72}{-9}−9−9y​=−972​

STEP 7

Calculate the division to find the value of yyy.y=−8y = -8y=−8The solution set is y=−8y = -8y=−8.

Start learning now

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

Solve the equation $-3(3y+8)=48$ and express the solution as an integer or simplified fraction.

Assumptions
1. We are given the equation $-3(3y + 8) = 48$ .
2. We need to solve for $y$ .
3. The solution should be expressed as an integer or a simplified fraction.

First, we need to distribute the $-3$ across the terms inside the parentheses.
$-3 \times 3y + (-3) \times 8 = 48$

Perform the multiplication to simplify the left side of the equation.
$-9y - 24 = 48$

Next, we need to isolate the term containing $y$ by adding $24$ to both sides of the equation.
$-9y - 24 + 24 = 48 + 24$

Simplify both sides of the equation.
$-9y = 72$

Now, we need to solve for $y$ by dividing both sides of the equation by $-9$ .
$\frac{-9y}{-9} = \frac{72}{-9}$

Calculate the division to find the value of $y$ .
$y = -8$
The solution set is $y = -8$ .