Basic Math Examples

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

Step 1

Since $y$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

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

Step 2

Cancel the common factor of $2 y + 4$ and $2$ .

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Step 2.1

Factor $2$ out of $2 y$ .

$y + 2 y = \frac{2 (y) + 4}{2}$

Step 2.2

Factor $2$ out of $4$ .

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

Step 2.3

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

$y + 2 y = \frac{2 (y + 2)}{2}$

Step 2.4

Cancel the common factors.

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Step 2.4.1

Factor $2$ out of $2$ .

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

Step 2.4.2

Cancel the common factor.

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

Step 2.4.3

Rewrite the expression.

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

Step 2.4.4

Divide $y + 2$ by $1$ .

$y + 2 y = y + 2$

Step 3

Solve for $y$ .

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Step 3.1

Add $y$ and $2 y$ .

$3 y = y + 2$

Step 3.2

Move all terms containing $y$ to the left side of the equation.

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Step 3.2.1

Subtract $y$ from both sides of the equation.

$3 y - y = 2$

Step 3.2.2

Subtract $y$ from $3 y$ .

$2 y = 2$

Step 3.3

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

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Step 3.3.1

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

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

Step 3.3.2

Simplify the left side.

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Step 3.3.2.1

Cancel the common factor of $2$ .

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Step 3.3.2.1.1

Cancel the common factor.

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

Step 3.3.2.1.2

Divide $y$ by $1$ .

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

Step 3.3.3

Simplify the right side.

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Step 3.3.3.1

Divide $2$ by $2$ .

$y = 1$