Basic Math Examples

$7 - w = 6 + y (7 - 5)$

Step 1

Simplify each term.

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Step 1.1

Subtract $5$ from $7$ .

$7 - w = 6 + y \cdot 2$

Step 1.2

Move $2$ to the left of $y$ .

$7 - w = 6 + 2 y$

Step 2

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

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Step 2.1

Subtract $7$ from both sides of the equation.

$- w = 6 + 2 y - 7$

Step 2.2

Subtract $7$ from $6$ .

$- w = 2 y - 1$

Step 3

Divide each term in $- w = 2 y - 1$ by $- 1$ and simplify.

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Step 3.1

Divide each term in $- w = 2 y - 1$ by $- 1$ .

$\frac{- w}{- 1} = \frac{2 y}{- 1} + \frac{- 1}{- 1}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Dividing two negative values results in a positive value.

$\frac{w}{1} = \frac{2 y}{- 1} + \frac{- 1}{- 1}$

Step 3.2.2

Divide $w$ by $1$ .

$w = \frac{2 y}{- 1} + \frac{- 1}{- 1}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify each term.

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Step 3.3.1.1

Move the negative one from the denominator of $\frac{2 y}{- 1}$ .

$w = - 1 \cdot (2 y) + \frac{- 1}{- 1}$

Step 3.3.1.2

Rewrite $- 1 \cdot (2 y)$ as $- (2 y)$ .

$w = - (2 y) + \frac{- 1}{- 1}$

Step 3.3.1.3

Multiply $2$ by $- 1$ .

$w = - 2 y + \frac{- 1}{- 1}$

Step 3.3.1.4

Divide $- 1$ by $- 1$ .

$w = - 2 y + 1$