Basic Math Examples

$7 - 2 = 2 y + 7$

Step 1

Rewrite the equation as $2 y + 7 = 7 - 2$ .

$2 y + 7 = 7 - 2$

Step 2

Subtract $2$ from $7$ .

$2 y + 7 = 5$

Step 3

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

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Step 3.1

Subtract $7$ from both sides of the equation.

$2 y = 5 - 7$

Step 3.2

Subtract $7$ from $5$ .

$2 y = - 2$

Step 4

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

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Step 4.1

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

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

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.

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

Step 4.2.1.2

Divide $y$ by $1$ .

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

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $- 2$ by $2$ .

$y = - 1$