Algebra Examples

$- 11 y + 3 + 3 y = 5 y - 9 - 9 y$

Step 1

Add $- 11 y$ and $3 y$ .

$- 8 y + 3 = 5 y - 9 - 9 y$

Step 2

Subtract $9 y$ from $5 y$ .

$- 8 y + 3 = - 4 y - 9$

Step 3

Move all terms containing $y$ to the left side of the equation.

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Step 3.1

Add $4 y$ to both sides of the equation.

$- 8 y + 3 + 4 y = - 9$

Step 3.2

Add $- 8 y$ and $4 y$ .

$- 4 y + 3 = - 9$

Step 4

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

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Step 4.1

Subtract $3$ from both sides of the equation.

$- 4 y = - 9 - 3$

Step 4.2

Subtract $3$ from $- 9$ .

$- 4 y = - 12$

Step 5

Divide each term in $- 4 y = - 12$ by $- 4$ and simplify.

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Step 5.1

Divide each term in $- 4 y = - 12$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{- 12}{- 4}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $- 4$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{- 12}{- 4}$

Step 5.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 12}{- 4}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide $- 12$ by $- 4$ .

$y = 3$