Solved on Jan 20, 2024

Solve for $y$ in the equation $-6=-\frac{4}{3}y$ .

STEP 1

Assumptions
1. We are given the equation $-6=-\frac{4}{3} y$ .
2. We need to solve for $y$ .

STEP 2

To solve for $y$ , we need to isolate $y$ on one side of the equation. We can start by multiplying both sides of the equation by the reciprocal of the coefficient of $y$ .
$y = -6 \times \left(-\frac{3}{4}\right)$

STEP 3

Now we multiply the numbers on the right-hand side to find the value of $y$ .
$y = 6 \times \frac{3}{4}$

STEP 4

Calculate the multiplication.
$y = \frac{6 \times 3}{4}$

STEP 5

Simplify the fraction by multiplying the numerator.
$y = \frac{18}{4}$

STEP 6

Divide the numerator by the denominator to simplify the fraction further.
$y = \frac{18}{4} = 4.5$

STEP 7

The solution to the equation is $y = 4.5$ .
$y = 4.5$

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Solve for $y$ in the equation $-6=-\frac{4}{3}y$ .

STEP 1

Assumptions
1. We are given the equation $-6=-\frac{4}{3} y$ .
2. We need to solve for $y$ .

STEP 2

To solve for $y$ , we need to isolate $y$ on one side of the equation. We can start by multiplying both sides of the equation by the reciprocal of the coefficient of $y$ .
$y = -6 \times \left(-\frac{3}{4}\right)$

STEP 3

Now we multiply the numbers on the right-hand side to find the value of $y$ .
$y = 6 \times \frac{3}{4}$

STEP 4

Calculate the multiplication.
$y = \frac{6 \times 3}{4}$

STEP 5

Simplify the fraction by multiplying the numerator.
$y = \frac{18}{4}$

STEP 6

Divide the numerator by the denominator to simplify the fraction further.
$y = \frac{18}{4} = 4.5$

STEP 7

The solution to the equation is $y = 4.5$ .
$y = 4.5$

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Solve for yyy in the equation −6=−43y-6=-\frac{4}{3}y−6=−34​y.

STEP 1

Assumptions1. We are given the equation −6=−43y-6=-\frac{4}{3} y−6=−34​y.2. We need to solve for yyy.

STEP 2

To solve for yyy, we need to isolate yyy on one side of the equation. We can start by multiplying both sides of the equation by the reciprocal of the coefficient of yyy.y=−6×(−34)y = -6 \times \left(-\frac{3}{4}\right)y=−6×(−43​)

STEP 3

Now we multiply the numbers on the right-hand side to find the value of yyy.y=6×34y = 6 \times \frac{3}{4}y=6×43​

STEP 4

Calculate the multiplication.y=6×34y = \frac{6 \times 3}{4}y=46×3​

STEP 5

Simplify the fraction by multiplying the numerator.y=184y = \frac{18}{4}y=418​

STEP 6

Divide the numerator by the denominator to simplify the fraction further.y=184=4.5y = \frac{18}{4} = 4.5y=418​=4.5

STEP 7

The solution to the equation is y=4.5y = 4.5y=4.5.y=4.5y = 4.5y=4.5

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

Solve for $y$ in the equation $-6=-\frac{4}{3}y$ .

Assumptions
1. We are given the equation $-6=-\frac{4}{3} y$ .
2. We need to solve for $y$ .

To solve for $y$ , we need to isolate $y$ on one side of the equation. We can start by multiplying both sides of the equation by the reciprocal of the coefficient of $y$ .
$y = -6 \times \left(-\frac{3}{4}\right)$

Now we multiply the numbers on the right-hand side to find the value of $y$ .
$y = 6 \times \frac{3}{4}$

Calculate the multiplication.
$y = \frac{6 \times 3}{4}$

Simplify the fraction by multiplying the numerator.
$y = \frac{18}{4}$

Divide the numerator by the denominator to simplify the fraction further.
$y = \frac{18}{4} = 4.5$

The solution to the equation is $y = 4.5$ .
$y = 4.5$