Basic Math Examples

$\frac{- (3 - 11 y)}{11} \cdot 11 = \frac{2}{11} \cdot 11$

Step 1

Simplify $\frac{- (3 - 11 y)}{11} \cdot 11$ .

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Step 1.1

Cancel the common factor of $11$ .

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Step 1.1.1

Cancel the common factor.

$\frac{- (3 - 11 y)}{11} \cdot 11 = \frac{2}{11} \cdot 11$

Step 1.1.2

Rewrite the expression.

$- (3 - 11 y) = \frac{2}{11} \cdot 11$

Step 1.2

Apply the distributive property.

$- 1 \cdot 3 - (- 11 y) = \frac{2}{11} \cdot 11$

Step 1.3

Multiply.

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Step 1.3.1

Multiply $- 1$ by $3$ .

$- 3 - (- 11 y) = \frac{2}{11} \cdot 11$

Step 1.3.2

Multiply $- 11$ by $- 1$ .

$- 3 + 11 y = \frac{2}{11} \cdot 11$

Step 2

Cancel the common factor of $11$ .

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Step 2.1

Cancel the common factor.

$- 3 + 11 y = \frac{2}{11} \cdot 11$

Step 2.2

Rewrite the expression.

$- 3 + 11 y = 2$

Step 3

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

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Step 3.1

Add $3$ to both sides of the equation.

$11 y = 2 + 3$

Step 3.2

Add $2$ and $3$ .

$11 y = 5$

Step 4

Divide each term in $11 y = 5$ by $11$ and simplify.

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Step 4.1

Divide each term in $11 y = 5$ by $11$ .

$\frac{11 y}{11} = \frac{5}{11}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $11$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{11 y}{11} = \frac{5}{11}$

Step 4.2.1.2

Divide $y$ by $1$ .

$y = \frac{5}{11}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$y = \frac{5}{11}$

Decimal Form:

$y = 0.\overline{45}$