Solved on Jan 17, 2024

Solve for the variable $y$ in the equation $-2=\frac{4}{3}y$ .

STEP 1

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

STEP 2

To isolate $y$ , we need to eliminate the fraction. We can do this by multiplying both sides of the equation by the denominator of the fraction.
$3 \times (-2) = 3 \times \left(\frac{4}{3} y\right)$

STEP 3

Perform the multiplication on the left side of the equation.
$-6 = 3 \times \left(\frac{4}{3} y\right)$

STEP 4

On the right side, the 3 in the numerator and the 3 in the denominator cancel each other out, leaving us with:
$-6 = 4y$

STEP 5

Now, to solve for $y$ , we need to divide both sides of the equation by 4.
$\frac{-6}{4} = \frac{4y}{4}$

STEP 6

Simplify both sides of the equation.
$-\frac{3}{2} = y$

STEP 7

We have isolated $y$ and found its value.
$y = -\frac{3}{2}$
Therefore, $y$ equals $-\frac{3}{2}$ or $-1.5$ .

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Solve for the variable $y$ in the equation $-2=\frac{4}{3}y$ .

STEP 1

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

STEP 2

To isolate $y$ , we need to eliminate the fraction. We can do this by multiplying both sides of the equation by the denominator of the fraction.
$3 \times (-2) = 3 \times \left(\frac{4}{3} y\right)$

STEP 3

Perform the multiplication on the left side of the equation.
$-6 = 3 \times \left(\frac{4}{3} y\right)$

STEP 4

On the right side, the 3 in the numerator and the 3 in the denominator cancel each other out, leaving us with:
$-6 = 4y$

STEP 5

Now, to solve for $y$ , we need to divide both sides of the equation by 4.
$\frac{-6}{4} = \frac{4y}{4}$

STEP 6

Simplify both sides of the equation.
$-\frac{3}{2} = y$

STEP 7

We have isolated $y$ and found its value.
$y = -\frac{3}{2}$
Therefore, $y$ equals $-\frac{3}{2}$ or $-1.5$ .

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Solve for the variable yyy in the equation −2=43y-2=\frac{4}{3}y−2=34​y.

STEP 1

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

STEP 2

To isolate yyy, we need to eliminate the fraction. We can do this by multiplying both sides of the equation by the denominator of the fraction.3×(−2)=3×(43y)3 \times (-2) = 3 \times \left(\frac{4}{3} y\right)3×(−2)=3×(34​y)

STEP 3

Perform the multiplication on the left side of the equation.−6=3×(43y)-6 = 3 \times \left(\frac{4}{3} y\right)−6=3×(34​y)

STEP 4

On the right side, the 3 in the numerator and the 3 in the denominator cancel each other out, leaving us with:−6=4y-6 = 4y−6=4y

STEP 5

Now, to solve for yyy, we need to divide both sides of the equation by 4.−64=4y4\frac{-6}{4} = \frac{4y}{4}4−6​=44y​

STEP 6

Simplify both sides of the equation.−32=y-\frac{3}{2} = y−23​=y

STEP 7

We have isolated yyy and found its value.y=−32y = -\frac{3}{2}y=−23​Therefore, yyy equals −32-\frac{3}{2}−23​ or −1.5-1.5−1.5.

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Solve for the variable $y$ in the equation $-2=\frac{4}{3}y$ .

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

To isolate $y$ , we need to eliminate the fraction. We can do this by multiplying both sides of the equation by the denominator of the fraction.
$3 \times (-2) = 3 \times \left(\frac{4}{3} y\right)$

Perform the multiplication on the left side of the equation.
$-6 = 3 \times \left(\frac{4}{3} y\right)$

On the right side, the 3 in the numerator and the 3 in the denominator cancel each other out, leaving us with:
$-6 = 4y$

Now, to solve for $y$ , we need to divide both sides of the equation by 4.
$\frac{-6}{4} = \frac{4y}{4}$

Simplify both sides of the equation.
$-\frac{3}{2} = y$

We have isolated $y$ and found its value.
$y = -\frac{3}{2}$
Therefore, $y$ equals $-\frac{3}{2}$ or $-1.5$ .