Basic Math Examples

$\frac{3}{12} y + 2 = 11$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $3$ and $12$ .

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Step 1.1.1

Factor $3$ out of $3$ .

$\frac{3 (1)}{12} y + 2 = 11$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $3$ out of $12$ .

$\frac{3 \cdot 1}{3 \cdot 4} y + 2 = 11$

Step 1.1.2.2

Cancel the common factor.

$\frac{3 \cdot 1}{3 \cdot 4} y + 2 = 11$

Step 1.1.2.3

Rewrite the expression.

$\frac{1}{4} y + 2 = 11$

$\frac{1}{4} y + 2 = 11$

$\frac{1}{4} y + 2 = 11$

Step 1.2

Combine $\frac{1}{4}$ and $y$ .

$\frac{y}{4} + 2 = 11$

$\frac{y}{4} + 2 = 11$

Step 2

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

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Step 2.1

Subtract $2$ from both sides of the equation.

$\frac{y}{4} = 11 - 2$

Step 2.2

Subtract $2$ from $11$ .

$\frac{y}{4} = 9$

$\frac{y}{4} = 9$

Step 3

Multiply both sides of the equation by $4$ .

$4 \frac{y}{4} = 4 \cdot 9$

Step 4

Simplify both sides of the equation.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Cancel the common factor of $4$ .

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Step 4.1.1.1

Cancel the common factor.

$4 \frac{y}{4} = 4 \cdot 9$

Step 4.1.1.2

Rewrite the expression.

$y = 4 \cdot 9$

$y = 4 \cdot 9$

$y = 4 \cdot 9$

Step 4.2

Simplify the right side.

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Step 4.2.1

Multiply $4$ by $9$ .

$y = 36$

$y = 36$

$y = 36$

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