Basic Math Examples

$37 - (2 y + 12) = 2 (y + 5)$

Step 1

Simplify $37 - (2 y + 12)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$37 - (2 y) - 1 \cdot 12 = 2 (y + 5)$

Step 1.1.2

Multiply $2$ by $- 1$ .

$37 - 2 y - 1 \cdot 12 = 2 (y + 5)$

Step 1.1.3

Multiply $- 1$ by $12$ .

$37 - 2 y - 12 = 2 (y + 5)$

Step 1.2

Subtract $12$ from $37$ .

$- 2 y + 25 = 2 (y + 5)$

Step 2

Simplify $2 (y + 5)$ .

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Step 2.1

Apply the distributive property.

$- 2 y + 25 = 2 y + 2 \cdot 5$

Step 2.2

Multiply $2$ by $5$ .

$- 2 y + 25 = 2 y + 10$

Step 3

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

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Step 3.1

Subtract $2 y$ from both sides of the equation.

$- 2 y + 25 - 2 y = 10$

Step 3.2

Subtract $2 y$ from $- 2 y$ .

$- 4 y + 25 = 10$

Step 4

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

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Step 4.1

Subtract $25$ from both sides of the equation.

$- 4 y = 10 - 25$

Step 4.2

Subtract $25$ from $10$ .

$- 4 y = - 15$

Step 5

Divide each term in $- 4 y = - 15$ by $- 4$ and simplify.

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Step 5.1

Divide each term in $- 4 y = - 15$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{- 15}{- 4}$

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.

$\frac{- 4 y}{- 4} = \frac{- 15}{- 4}$

Step 5.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 15}{- 4}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Dividing two negative values results in a positive value.

$y = \frac{15}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$y = \frac{15}{4}$

Decimal Form:

$y = 3.75$

Mixed Number Form:

$y = 3 \frac{3}{4}$