Basic Math Examples

$500 = \frac{388 + 499 + 515 + 602 + y}{5}$

Step 1

Rewrite the equation as $\frac{388 + 499 + 515 + 602 + y}{5} = 500$ .

$\frac{388 + 499 + 515 + 602 + y}{5} = 500$

Step 2

Multiply both sides of the equation by $5$ .

$5 \frac{388 + 499 + 515 + 602 + y}{5} = 5 \cdot 500$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Simplify $5 \frac{388 + 499 + 515 + 602 + y}{5}$ .

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Step 3.1.1.1

Cancel the common factor of $5$ .

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Step 3.1.1.1.1

Cancel the common factor.

$5 \frac{388 + 499 + 515 + 602 + y}{5} = 5 \cdot 500$

Step 3.1.1.1.2

Rewrite the expression.

$388 + 499 + 515 + 602 + y = 5 \cdot 500$

Step 3.1.1.2

Simplify by adding numbers.

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Step 3.1.1.2.1

Add $388$ and $499$ .

$887 + 515 + 602 + y = 5 \cdot 500$

Step 3.1.1.2.2

Add $887$ and $515$ .

$1402 + 602 + y = 5 \cdot 500$

Step 3.1.1.2.3

Add $1402$ and $602$ .

$2004 + y = 5 \cdot 500$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $5$ by $500$ .

$2004 + y = 2500$

Step 4

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

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Step 4.1

Subtract $2004$ from both sides of the equation.

$y = 2500 - 2004$

Step 4.2

Subtract $2004$ from $2500$ .

$y = 496$