Basic Math Examples

$- 4.5 = - 6 (- 4 + 3 y)$

Step 1

Rewrite the equation as $- 6 (- 4 + 3 y) = - 4.5$ .

$- 6 (- 4 + 3 y) = - 4.5$

Step 2

Divide each term in $- 6 (- 4 + 3 y) = - 4.5$ by $- 6$ and simplify.

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Step 2.1

Divide each term in $- 6 (- 4 + 3 y) = - 4.5$ by $- 6$ .

$\frac{- 6 (- 4 + 3 y)}{- 6} = \frac{- 4.5}{- 6}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 6$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 6 (- 4 + 3 y)}{- 6} = \frac{- 4.5}{- 6}$

Step 2.2.1.2

Divide $- 4 + 3 y$ by $1$ .

$- 4 + 3 y = \frac{- 4.5}{- 6}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $- 4.5$ by $- 6$ .

$- 4 + 3 y = 0.75$

Step 3

Move all terms not containing $y$ to the right side of the equation.

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Step 3.1

Add $4$ to both sides of the equation.

$3 y = 0.75 + 4$

Step 3.2

Add $0.75$ and $4$ .

$3 y = 4.75$

Step 4

Divide each term in $3 y = 4.75$ by $3$ and simplify.

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Step 4.1

Divide each term in $3 y = 4.75$ by $3$ .

$\frac{3 y}{3} = \frac{4.75}{3}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $3$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{3 y}{3} = \frac{4.75}{3}$

Step 4.2.1.2

Divide $y$ by $1$ .

$y = \frac{4.75}{3}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $4.75$ by $3$ .

$y = 1.58\overline{3}$