Algebra Examples

$- 2 (18 - 3 y) = 7 y + 2 y$

Step 1

Since $y$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$7 y + 2 y = - 2 (18 - 3 y)$

Step 2

Add $7 y$ and $2 y$ .

$9 y = - 2 (18 - 3 y)$

Step 3

Simplify $- 2 (18 - 3 y)$ .

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Step 3.1

Apply the distributive property.

$9 y = - 2 \cdot 18 - 2 (- 3 y)$

Step 3.2

Multiply.

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Step 3.2.1

Multiply $- 2$ by $18$ .

$9 y = - 36 - 2 (- 3 y)$

Step 3.2.2

Multiply $- 3$ by $- 2$ .

$9 y = - 36 + 6 y$

Step 4

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

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Step 4.1

Subtract $6 y$ from both sides of the equation.

$9 y - 6 y = - 36$

Step 4.2

Subtract $6 y$ from $9 y$ .

$3 y = - 36$

Step 5

Divide each term in $3 y = - 36$ by $3$ and simplify.

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Step 5.1

Divide each term in $3 y = - 36$ by $3$ .

$\frac{3 y}{3} = \frac{- 36}{3}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $3$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{3 y}{3} = \frac{- 36}{3}$

Step 5.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 36}{3}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide $- 36$ by $3$ .

$y = - 12$