Algebra Examples

$2 x y + 6 y = 10$

Step 1

Factor $2 y$ out of $2 x y + 6 y$ .

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Step 1.1

Factor $2 y$ out of $2 x y$ .

$2 y (x) + 6 y = 10$

Step 1.2

Factor $2 y$ out of $6 y$ .

$2 y (x) + 2 y (3) = 10$

Step 1.3

Factor $2 y$ out of $2 y (x) + 2 y (3)$ .

$2 y (x + 3) = 10$

Step 2

Divide each term in $2 y (x + 3) = 10$ by $2 (x + 3)$ and simplify.

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Step 2.1

Divide each term in $2 y (x + 3) = 10$ by $2 (x + 3)$ .

$\frac{2 y (x + 3)}{2 (x + 3)} = \frac{10}{2 (x + 3)}$

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.

$\frac{2 y (x + 3)}{2 (x + 3)} = \frac{10}{2 (x + 3)}$

Step 2.2.1.2

Rewrite the expression.

$\frac{y (x + 3)}{x + 3} = \frac{10}{2 (x + 3)}$

Step 2.2.2

Cancel the common factor of $x + 3$ .

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Step 2.2.2.1

Cancel the common factor.

$\frac{y (x + 3)}{x + 3} = \frac{10}{2 (x + 3)}$

Step 2.2.2.2

Divide $y$ by $1$ .

$y = \frac{10}{2 (x + 3)}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Cancel the common factor of $10$ and $2$ .

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Step 2.3.1.1

Factor $2$ out of $10$ .

$y = \frac{2 \cdot 5}{2 (x + 3)}$

Step 2.3.1.2

Cancel the common factors.

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Step 2.3.1.2.1

Cancel the common factor.

$y = \frac{2 \cdot 5}{2 (x + 3)}$

Step 2.3.1.2.2

Rewrite the expression.

$y = \frac{5}{x + 3}$