Basic Math Examples

$7 x + 7 - 2 y = 17$

Step 1

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

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Step 1.1

Subtract $7 x$ from both sides of the equation.

$7 - 2 y = 17 - 7 x$

Step 1.2

Subtract $7$ from both sides of the equation.

$- 2 y = 17 - 7 x - 7$

Step 1.3

Subtract $7$ from $17$ .

$- 2 y = - 7 x + 10$

Step 2

Divide each term in $- 2 y = - 7 x + 10$ by $- 2$ and simplify.

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Step 2.1

Divide each term in $- 2 y = - 7 x + 10$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{- 7 x}{- 2} + \frac{10}{- 2}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 2$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{- 7 x}{- 2} + \frac{10}{- 2}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 7 x}{- 2} + \frac{10}{- 2}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Dividing two negative values results in a positive value.

$y = \frac{7 x}{2} + \frac{10}{- 2}$

Step 2.3.1.2

Divide $10$ by $- 2$ .

$y = \frac{7 x}{2} - 5$