Basic Math Examples

$11 y - (5 y - 9) = 51$

Step 1

Simplify $11 y - (5 y - 9)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$11 y - (5 y) - - 9 = 51$

Step 1.1.2

Multiply $5$ by $- 1$ .

$11 y - 5 y - - 9 = 51$

Step 1.1.3

Multiply $- 1$ by $- 9$ .

$11 y - 5 y + 9 = 51$

Step 1.2

Subtract $5 y$ from $11 y$ .

$6 y + 9 = 51$

Step 2

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

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Step 2.1

Subtract $9$ from both sides of the equation.

$6 y = 51 - 9$

Step 2.2

Subtract $9$ from $51$ .

$6 y = 42$

Step 3

Divide each term in $6 y = 42$ by $6$ and simplify.

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Step 3.1

Divide each term in $6 y = 42$ by $6$ .

$\frac{6 y}{6} = \frac{42}{6}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $6$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{6 y}{6} = \frac{42}{6}$

Step 3.2.1.2

Divide $y$ by $1$ .

$y = \frac{42}{6}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $42$ by $6$ .

$y = 7$