Basic Math Examples

$((\frac{30000}{20}) + (\frac{60000}{15}) + (\frac{110000}{y})) \cdot 3.5 = 28875$

Step 1

Simplify $(\frac{30000}{20} + \frac{60000}{15} + \frac{110000}{y}) \cdot 3.5$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Divide $30000$ by $20$ .

$(1500 + \frac{60000}{15} + \frac{110000}{y}) \cdot 3.5 = 28875$

Step 1.1.2

Divide $60000$ by $15$ .

$(1500 + 4000 + \frac{110000}{y}) \cdot 3.5 = 28875$

Step 1.2

Simplify by multiplying through.

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Step 1.2.1

Add $1500$ and $4000$ .

$(5500 + \frac{110000}{y}) \cdot 3.5 = 28875$

Step 1.2.2

Apply the distributive property.

$5500 \cdot 3.5 + \frac{110000}{y} \cdot 3.5 = 28875$

Step 1.2.3

Multiply $5500$ by $3.5$ .

$19250 + \frac{110000}{y} \cdot 3.5 = 28875$

Step 1.3

Multiply $\frac{110000}{y} \cdot 3.5$ .

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Step 1.3.1

Combine $\frac{110000}{y}$ and $3.5$ .

$19250 + \frac{110000 \cdot 3.5}{y} = 28875$

Step 1.3.2

Multiply $110000$ by $3.5$ .

$19250 + \frac{385000}{y} = 28875$

Step 2

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

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Step 2.1

Subtract $19250$ from both sides of the equation.

$\frac{385000}{y} = 28875 - 19250$

Step 2.2

Subtract $19250$ from $28875$ .

$\frac{385000}{y} = 9625$

Step 3

Find the LCD of the terms in the equation.

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Step 3.1

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$y, 1$

Step 3.2

The LCM of one and any expression is the expression.

$y$

Step 4

Multiply each term in $\frac{385000}{y} = 9625$ by $y$ to eliminate the fractions.

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Step 4.1

Multiply each term in $\frac{385000}{y} = 9625$ by $y$ .

$\frac{385000}{y} y = 9625 y$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $y$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{385000}{y} y = 9625 y$

Step 4.2.1.2

Rewrite the expression.

$385000 = 9625 y$

Step 5

Solve the equation.

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Step 5.1

Rewrite the equation as $9625 y = 385000$ .

$9625 y = 385000$

Step 5.2

Divide each term in $9625 y = 385000$ by $9625$ and simplify.

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Step 5.2.1

Divide each term in $9625 y = 385000$ by $9625$ .

$\frac{9625 y}{9625} = \frac{385000}{9625}$

Step 5.2.2

Simplify the left side.

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Step 5.2.2.1

Cancel the common factor of $9625$ .

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Step 5.2.2.1.1

Cancel the common factor.

$\frac{9625 y}{9625} = \frac{385000}{9625}$

Step 5.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{385000}{9625}$

Step 5.2.3

Simplify the right side.

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Step 5.2.3.1

Divide $385000$ by $9625$ .

$y = 40$