Basic Math Examples

$- 14 = - 2 (5 - y) + 16$

Step 1

Rewrite the equation as $- 2 (5 - y) + 16 = - 14$ .

$- 2 (5 - y) + 16 = - 14$

Step 2

Simplify $- 2 (5 - y) + 16$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$- 2 \cdot 5 - 2 (- y) + 16 = - 14$

Step 2.1.2

Multiply $- 2$ by $5$ .

$- 10 - 2 (- y) + 16 = - 14$

Step 2.1.3

Multiply $- 1$ by $- 2$ .

$- 10 + 2 y + 16 = - 14$

Step 2.2

Add $- 10$ and $16$ .

$2 y + 6 = - 14$

Step 3

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

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Step 3.1

Subtract $6$ from both sides of the equation.

$2 y = - 14 - 6$

Step 3.2

Subtract $6$ from $- 14$ .

$2 y = - 20$

Step 4

Divide each term in $2 y = - 20$ by $2$ and simplify.

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Step 4.1

Divide each term in $2 y = - 20$ by $2$ .

$\frac{2 y}{2} = \frac{- 20}{2}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $2$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{2 y}{2} = \frac{- 20}{2}$

Step 4.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 20}{2}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $- 20$ by $2$ .

$y = - 10$