Algebra Examples

$0.5 (2 y - 1) - (0.5 - 0.2 y) + 1 = 0$

Step 1

Simplify $0.5 (2 y - 1) - (0.5 - 0.2 y) + 1$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$0.5 (2 y) + 0.5 \cdot - 1 - (0.5 - 0.2 y) + 1 = 0$

Step 1.1.2

Multiply $0.5 (2 y)$ .

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Step 1.1.2.1

Multiply $2$ by $0.5$ .

$1 y + 0.5 \cdot - 1 - (0.5 - 0.2 y) + 1 = 0$

Step 1.1.2.2

Multiply $y$ by $1$ .

$y + 0.5 \cdot - 1 - (0.5 - 0.2 y) + 1 = 0$

$y + 0.5 \cdot - 1 - (0.5 - 0.2 y) + 1 = 0$

Step 1.1.3

Multiply $0.5$ by $- 1$ .

$y - 0.5 - (0.5 - 0.2 y) + 1 = 0$

Step 1.1.4

Apply the distributive property.

$y - 0.5 - 1 \cdot 0.5 - (- 0.2 y) + 1 = 0$

Step 1.1.5

Multiply $- 1$ by $0.5$ .

$y - 0.5 - 0.5 - (- 0.2 y) + 1 = 0$

Step 1.1.6

Multiply $- 0.2$ by $- 1$ .

$y - 0.5 - 0.5 + 0.2 y + 1 = 0$

$y - 0.5 - 0.5 + 0.2 y + 1 = 0$

Step 1.2

Simplify by adding terms.

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Step 1.2.1

Add $y$ and $0.2 y$ .

$1.2 y - 0.5 - 0.5 + 1 = 0$

Step 1.2.2

Simplify by adding and subtracting.

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Step 1.2.2.1

Subtract $0.5$ from $- 0.5$ .

$1.2 y - 1 + 1 = 0$

Step 1.2.2.2

Add $- 1$ and $1$ .

$1.2 y + 0 = 0$

Step 1.2.2.3

Add $1.2 y$ and $0$ .

$1.2 y = 0$

$1.2 y = 0$

$1.2 y = 0$

$1.2 y = 0$

Step 2

Divide each term in $1.2 y = 0$ by $1.2$ and simplify.

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Step 2.1

Divide each term in $1.2 y = 0$ by $1.2$ .

$\frac{1.2 y}{1.2} = \frac{0}{1.2}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $1.2$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{1.2 y}{1.2} = \frac{0}{1.2}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y = \frac{0}{1.2}$

$y = \frac{0}{1.2}$

$y = \frac{0}{1.2}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $0$ by $1.2$ .

$y = 0$

$y = 0$

$y = 0$

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