Pre-Algebra Examples

$- 2 (y + 2) = 2 - y$

Step 1

Simplify $- 2 (y + 2)$ .

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Step 1.1

Rewrite.

$0 + 0 - 2 (y + 2) = 2 - y$

Step 1.2

Simplify by adding zeros.

$- 2 (y + 2) = 2 - y$

Step 1.3

Apply the distributive property.

$- 2 y - 2 \cdot 2 = 2 - y$

Step 1.4

Multiply $- 2$ by $2$ .

$- 2 y - 4 = 2 - y$

Step 2

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

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Step 2.1

Add $y$ to both sides of the equation.

$- 2 y - 4 + y = 2$

Step 2.2

Add $- 2 y$ and $y$ .

$- y - 4 = 2$

Step 3

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

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Step 3.1

Add $4$ to both sides of the equation.

$- y = 2 + 4$

Step 3.2

Add $2$ and $4$ .

$- y = 6$

Step 4

Divide each term in $- y = 6$ by $- 1$ and simplify.

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Step 4.1

Divide each term in $- y = 6$ by $- 1$ .

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

Step 4.2

Simplify the left side.

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Step 4.2.1

Dividing two negative values results in a positive value.

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

Step 4.2.2

Divide $y$ by $1$ .

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

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $6$ by $- 1$ .

$y = - 6$

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