Basic Math Examples

$0.15 - 0.2 y = 0.3 (y + 3)$

Step 1

Simplify $0.3 (y + 3)$ .

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Step 1.1

Rewrite.

$0.15 - 0.2 y = 0 + 0 + 0.3 (y + 3)$

Step 1.2

Simplify by adding zeros.

$0.15 - 0.2 y = 0.3 (y + 3)$

Step 1.3

Apply the distributive property.

$0.15 - 0.2 y = 0.3 y + 0.3 \cdot 3$

Step 1.4

Multiply $0.3$ by $3$ .

$0.15 - 0.2 y = 0.3 y + 0.9$

Step 2

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

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Step 2.1

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

$0.15 - 0.2 y - 0.3 y = 0.9$

Step 2.2

Subtract $0.3 y$ from $- 0.2 y$ .

$0.15 - 0.5 y = 0.9$

Step 3

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

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Step 3.1

Subtract $0.15$ from both sides of the equation.

$- 0.5 y = 0.9 - 0.15$

Step 3.2

Subtract $0.15$ from $0.9$ .

$- 0.5 y = 0.75$

Step 4

Divide each term in $- 0.5 y = 0.75$ by $- 0.5$ and simplify.

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Step 4.1

Divide each term in $- 0.5 y = 0.75$ by $- 0.5$ .

$\frac{- 0.5 y}{- 0.5} = \frac{0.75}{- 0.5}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $- 0.5$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{- 0.5 y}{- 0.5} = \frac{0.75}{- 0.5}$

Step 4.2.1.2

Divide $y$ by $1$ .

$y = \frac{0.75}{- 0.5}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $0.75$ by $- 0.5$ .

$y = - 1.5$