Basic Math Examples

$0.3 y = 0.5 (y + 8 - 0.2 y)$

Step 1

Since $y$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$0.5 (y + 8 - 0.2 y) = 0.3 y$

Step 2

Simplify $0.5 (y + 8 - 0.2 y)$ .

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Step 2.1

Rewrite.

$0 + 0 + 0.5 (y + 8 - 0.2 y) = 0.3 y$

Step 2.2

Simplify by adding zeros.

$0.5 (y + 8 - 0.2 y) = 0.3 y$

Step 2.3

Subtract $0.2 y$ from $y$ .

$0.5 (0.8 y + 8) = 0.3 y$

Step 2.4

Apply the distributive property.

$0.5 (0.8 y) + 0.5 \cdot 8 = 0.3 y$

Step 2.5

Multiply.

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Step 2.5.1

Multiply $0.8$ by $0.5$ .

$0.4 y + 0.5 \cdot 8 = 0.3 y$

Step 2.5.2

Multiply $0.5$ by $8$ .

$0.4 y + 4 = 0.3 y$

Step 3

Move all terms containing $y$ to the left side of the equation.

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Step 3.1

Subtract $0.3 y$ from both sides of the equation.

$0.4 y + 4 - 0.3 y = 0$

Step 3.2

Subtract $0.3 y$ from $0.4 y$ .

$0.1 y + 4 = 0$

Step 4

Subtract $4$ from both sides of the equation.

$0.1 y = - 4$

Step 5

Divide each term in $0.1 y = - 4$ by $0.1$ and simplify.

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Step 5.1

Divide each term in $0.1 y = - 4$ by $0.1$ .

$\frac{0.1 y}{0.1} = \frac{- 4}{0.1}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $0.1$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{0.1 y}{0.1} = \frac{- 4}{0.1}$

Step 5.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 4}{0.1}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide $- 4$ by $0.1$ .

$y = - 40$