Basic Math Examples

$5 x + 2 y - 5 = 6$

Step 1

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

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Step 1.1

Subtract $5 x$ from both sides of the equation.

$2 y - 5 = 6 - 5 x$

Step 1.2

Add $5$ to both sides of the equation.

$2 y = 6 - 5 x + 5$

Step 1.3

Add $6$ and $5$ .

$2 y = - 5 x + 11$

Step 2

Divide each term in $2 y = - 5 x + 11$ by $2$ and simplify.

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Step 2.1

Divide each term in $2 y = - 5 x + 11$ by $2$ .

$\frac{2 y}{2} = \frac{- 5 x}{2} + \frac{11}{2}$

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.

$\frac{2 y}{2} = \frac{- 5 x}{2} + \frac{11}{2}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 5 x}{2} + \frac{11}{2}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Move the negative in front of the fraction.

$y = - \frac{5 x}{2} + \frac{11}{2}$