Basic Math Examples

$1000 (9 y - 10) = 50 (688 + 100 y)$

Step 1

Simplify

$1000 (9 y - 10)$ .

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Step 1.1

Rewrite.

$0 + 0 + 1000 (9 y - 10) = 50 (688 + 100 y)$

Step 1.2

Simplify by adding zeros.

$1000 (9 y - 10) = 50 (688 + 100 y)$

Step 1.3

Apply the distributive property.

$1000 (9 y) + 1000 \cdot - 10 = 50 (688 + 100 y)$

Step 1.4

Multiply.

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Step 1.4.1

Multiply

$9$ by

$1000$ .

$9000 y + 1000 \cdot - 10 = 50 (688 + 100 y)$

Step 1.4.2

Multiply

$1000$ by

$- 10$ .

$9000 y - 10000 = 50 (688 + 100 y)$

$9000 y - 10000 = 50 (688 + 100 y)$

$9000 y - 10000 = 50 (688 + 100 y)$

Step 2

Simplify

$50 (688 + 100 y)$ .

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Step 2.1

Apply the distributive property.

$9000 y - 10000 = 50 \cdot 688 + 50 (100 y)$

Step 2.2

Multiply.

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Step 2.2.1

Multiply

$50$ by

$688$ .

$9000 y - 10000 = 34400 + 50 (100 y)$

Step 2.2.2

Multiply

$100$ by

$50$ .

$9000 y - 10000 = 34400 + 5000 y$

$9000 y - 10000 = 34400 + 5000 y$

$9000 y - 10000 = 34400 + 5000 y$

Step 3

Move all terms containing

$y$ to the left side of the equation.

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Step 3.1

Subtract

$5000 y$ from both sides of the equation.

$9000 y - 10000 - 5000 y = 34400$

Step 3.2

Subtract

$5000 y$ from

$9000 y$ .

$4000 y - 10000 = 34400$

$4000 y - 10000 = 34400$

Step 4

Move all terms not containing

$y$ to the right side of the equation.

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Step 4.1

Add

$10000$ to both sides of the equation.

$4000 y = 34400 + 10000$

Step 4.2

Add

$34400$ and

$10000$ .

$4000 y = 44400$

$4000 y = 44400$

Step 5

Divide each term in

$4000 y = 44400$ by

$4000$ and simplify.

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Step 5.1

Divide each term in

$4000 y = 44400$ by

$4000$ .

$\frac{4000 y}{4000} = \frac{44400}{4000}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of

$4000$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{4000 y}{4000} = \frac{44400}{4000}$

Step 5.2.1.2

Divide

$y$ by

$1$ .

$y = \frac{44400}{4000}$

$y = \frac{44400}{4000}$

$y = \frac{44400}{4000}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Cancel the common factor of

$44400$ and

$4000$ .

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Step 5.3.1.1

Factor

$400$ out of

$44400$ .

$y = \frac{400 (111)}{4000}$

Step 5.3.1.2

Cancel the common factors.

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Step 5.3.1.2.1

Factor

$400$ out of

$4000$ .

$y = \frac{400 \cdot 111}{400 \cdot 10}$

Step 5.3.1.2.2

Cancel the common factor.

$y = \frac{400 \cdot 111}{400 \cdot 10}$

Step 5.3.1.2.3

Rewrite the expression.

$y = \frac{111}{10}$

$y = \frac{111}{10}$

$y = \frac{111}{10}$

$y = \frac{111}{10}$

$y = \frac{111}{10}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$y = \frac{111}{10}$

Decimal Form:

$y = 11.1$

Mixed Number Form:

$y = 11 \frac{1}{10}$

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