Basic Math Examples

0.12 (y - 8) + 0.04 y = 0.06 y - 0.01 \cdot 60

$0.12 (y - 8) + 0.04 y = 0.06 y - 0.01 \cdot 60$

Step 1

Simplify

0.12 (y - 8) + 0.04 y

$0.12 (y - 8) + 0.04 y$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

0.12 y + 0.12 \cdot - 8 + 0.04 y = 0.06 y - 0.01 \cdot 60

$0.12 y + 0.12 \cdot - 8 + 0.04 y = 0.06 y - 0.01 \cdot 60$

Step 1.1.2

Multiply

0.12

$0.12$ by

- 8

$- 8$ .

0.12 y - 0.96 + 0.04 y = 0.06 y - 0.01 \cdot 60

$0.12 y - 0.96 + 0.04 y = 0.06 y - 0.01 \cdot 60$

0.12 y - 0.96 + 0.04 y = 0.06 y - 0.01 \cdot 60

$0.12 y - 0.96 + 0.04 y = 0.06 y - 0.01 \cdot 60$

Step 1.2

Add

0.12 y

$0.12 y$ and

0.04 y

$0.04 y$ .

0.16 y - 0.96 = 0.06 y - 0.01 \cdot 60

$0.16 y - 0.96 = 0.06 y - 0.01 \cdot 60$

0.16 y - 0.96 = 0.06 y - 0.01 \cdot 60

$0.16 y - 0.96 = 0.06 y - 0.01 \cdot 60$

Step 2

Multiply

- 0.01

$- 0.01$ by

60

$60$ .

0.16 y - 0.96 = 0.06 y - 0.6

$0.16 y - 0.96 = 0.06 y - 0.6$

Step 3

Move all terms containing

y

$y$ to the left side of the equation.

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Step 3.1

Subtract

0.06 y

$0.06 y$ from both sides of the equation.

0.16 y - 0.96 - 0.06 y = - 0.6

$0.16 y - 0.96 - 0.06 y = - 0.6$

Step 3.2

Subtract

0.06 y

$0.06 y$ from

0.16 y

$0.16 y$ .

0.1 y - 0.96 = - 0.6

$0.1 y - 0.96 = - 0.6$

0.1 y - 0.96 = - 0.6

$0.1 y - 0.96 = - 0.6$

Step 4

Move all terms not containing

y

$y$ to the right side of the equation.

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Step 4.1

Add

0.96

$0.96$ to both sides of the equation.

0.1 y = - 0.6 + 0.96

$0.1 y = - 0.6 + 0.96$

Step 4.2

Add

- 0.6

$- 0.6$ and

0.96

$0.96$ .

0.1 y = 0.36

$0.1 y = 0.36$

0.1 y = 0.36

$0.1 y = 0.36$

Step 5

Divide each term in

0.1 y = 0.36

$0.1 y = 0.36$ by

0.1

$0.1$ and simplify.

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Step 5.1

Divide each term in

0.1 y = 0.36

$0.1 y = 0.36$ by

0.1

$0.1$ .

\frac{0.1 y}{0.1} = \frac{0.36}{0.1}

$\frac{0.1 y}{0.1} = \frac{0.36}{0.1}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of

0.1

$0.1$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{0.1 y}{0.1} = \frac{0.36}{0.1}$

Step 5.2.1.2

Divide

$y$ by

$1$ .

$y = \frac{0.36}{0.1}$

$y = \frac{0.36}{0.1}$

$y = \frac{0.36}{0.1}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide

$0.36$ by

$0.1$ .

$y = 3.6$

$y = 3.6$

$y = 3.6$

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