Algebra Examples

$9 (y + 2) \div 3 \cdot 2 + 1$

Step 1

Simplify each term.

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Step 1.1

Rewrite the division as a fraction.

$\frac{9 (y + 2)}{3} \cdot 2 + 1$

Step 1.2

Cancel the common factor of $9$ and $3$ .

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Step 1.2.1

Factor $3$ out of $9 (y + 2)$ .

$\frac{3 (3 (y + 2))}{3} \cdot 2 + 1$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $3$ out of $3$ .

$\frac{3 (3 (y + 2))}{3 (1)} \cdot 2 + 1$

Step 1.2.2.2

Cancel the common factor.

$\frac{3 (3 (y + 2))}{3 \cdot 1} \cdot 2 + 1$

Step 1.2.2.3

Rewrite the expression.

$\frac{3 (y + 2)}{1} \cdot 2 + 1$

Step 1.2.2.4

Divide $3 (y + 2)$ by $1$ .

$3 (y + 2) \cdot 2 + 1$

$3 (y + 2) \cdot 2 + 1$

$3 (y + 2) \cdot 2 + 1$

Step 1.3

Apply the distributive property.

$(3 y + 3 \cdot 2) \cdot 2 + 1$

Step 1.4

Multiply $3$ by $2$ .

$(3 y + 6) \cdot 2 + 1$

Step 1.5

Apply the distributive property.

$3 y \cdot 2 + 6 \cdot 2 + 1$

Step 1.6

Multiply $2$ by $3$ .

$6 y + 6 \cdot 2 + 1$

Step 1.7

Multiply $6$ by $2$ .

$6 y + 12 + 1$

$6 y + 12 + 1$

Step 2

Add $12$ and $1$ .

$6 y + 13$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$