Basic Math Examples

$26 = 6 (5 - 4 y)$

Step 1

Rewrite the equation as $6 (5 - 4 y) = 26$ .

$6 (5 - 4 y) = 26$

Step 2

Divide each term in $6 (5 - 4 y) = 26$ by $6$ and simplify.

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Step 2.1

Divide each term in $6 (5 - 4 y) = 26$ by $6$ .

$\frac{6 (5 - 4 y)}{6} = \frac{26}{6}$

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.

$\frac{6 (5 - 4 y)}{6} = \frac{26}{6}$

Step 2.2.1.2

Divide $5 - 4 y$ by $1$ .

$5 - 4 y = \frac{26}{6}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Cancel the common factor of $26$ and $6$ .

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Step 2.3.1.1

Factor $2$ out of $26$ .

$5 - 4 y = \frac{2 (13)}{6}$

Step 2.3.1.2

Cancel the common factors.

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Step 2.3.1.2.1

Factor $2$ out of $6$ .

$5 - 4 y = \frac{2 \cdot 13}{2 \cdot 3}$

Step 2.3.1.2.2

Cancel the common factor.

$5 - 4 y = \frac{2 \cdot 13}{2 \cdot 3}$

Step 2.3.1.2.3

Rewrite the expression.

$5 - 4 y = \frac{13}{3}$

Step 3

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

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Step 3.1

Subtract $5$ from both sides of the equation.

$- 4 y = \frac{13}{3} - 5$

Step 3.2

To write $- 5$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$- 4 y = \frac{13}{3} - 5 \cdot \frac{3}{3}$

Step 3.3

Combine $- 5$ and $\frac{3}{3}$ .

$- 4 y = \frac{13}{3} + \frac{- 5 \cdot 3}{3}$

Step 3.4

Combine the numerators over the common denominator.

$- 4 y = \frac{13 - 5 \cdot 3}{3}$

Step 3.5

Simplify the numerator.

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Step 3.5.1

Multiply $- 5$ by $3$ .

$- 4 y = \frac{13 - 15}{3}$

Step 3.5.2

Subtract $15$ from $13$ .

$- 4 y = \frac{- 2}{3}$

Step 3.6

Move the negative in front of the fraction.

$- 4 y = - \frac{2}{3}$

Step 4

Divide each term in $- 4 y = - \frac{2}{3}$ by $- 4$ and simplify.

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Step 4.1

Divide each term in $- 4 y = - \frac{2}{3}$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{- \frac{2}{3}}{- 4}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $- 4$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{- \frac{2}{3}}{- 4}$

Step 4.2.1.2

Divide $y$ by $1$ .

$y = \frac{- \frac{2}{3}}{- 4}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Multiply the numerator by the reciprocal of the denominator.

$y = - \frac{2}{3} \cdot \frac{1}{- 4}$

Step 4.3.2

Cancel the common factor of $2$ .

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Step 4.3.2.1

Move the leading negative in $- \frac{2}{3}$ into the numerator.

$y = \frac{- 2}{3} \cdot \frac{1}{- 4}$

Step 4.3.2.2

Factor $2$ out of $- 2$ .

$y = \frac{2 (- 1)}{3} \cdot \frac{1}{- 4}$

Step 4.3.2.3

Factor $2$ out of $- 4$ .

$y = \frac{2 \cdot - 1}{3} \cdot \frac{1}{2 \cdot - 2}$

Step 4.3.2.4

Cancel the common factor.

$y = \frac{2 \cdot - 1}{3} \cdot \frac{1}{2 \cdot - 2}$

Step 4.3.2.5

Rewrite the expression.

$y = \frac{- 1}{3} \cdot \frac{1}{- 2}$

Step 4.3.3

Multiply $\frac{- 1}{3}$ by $\frac{1}{- 2}$ .

$y = \frac{- 1}{3 \cdot - 2}$

Step 4.3.4

Multiply $3$ by $- 2$ .

$y = \frac{- 1}{- 6}$

Step 4.3.5

Dividing two negative values results in a positive value.

$y = \frac{1}{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$y = \frac{1}{6}$

Decimal Form:

$y = 0.1\overline{6}$