Basic Math Examples

$\frac{2}{5} y - 15 = 2 - 60 % \cdot y$

Step 1

Combine $\frac{2}{5}$ and $y$ .

$\frac{2 y}{5} - 15 = 2 - 60 % \cdot y$

Step 2

Simplify each term.

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Step 2.1

Convert $60 %$ to a decimal.

$\frac{2 y}{5} - 15 = 2 - 1 \cdot 0.6 \cdot y$

Step 2.2

Multiply $- 1$ by $0.6$ .

$\frac{2 y}{5} - 15 = 2 - 0.6 y$

Step 3

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

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Step 3.1

Add $0.6 y$ to both sides of the equation.

$\frac{2 y}{5} - 15 + 0.6 y = 2$

Step 3.2

To write $0.6 y$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{2 y}{5} + 0.6 y \cdot \frac{5}{5} - 15 = 2$

Step 3.3

Combine $0.6 y$ and $\frac{5}{5}$ .

$\frac{2 y}{5} + \frac{0.6 y \cdot 5}{5} - 15 = 2$

Step 3.4

Combine the numerators over the common denominator.

$\frac{2 y + 0.6 y \cdot 5}{5} - 15 = 2$

Step 3.5

Simplify each term.

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Step 3.5.1

Simplify the numerator.

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Step 3.5.1.1

Factor $0.2 y$ out of $2 y + 0.6 y \cdot 5$ .

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Step 3.5.1.1.1

Move $y$ .

$\frac{2 y + 0.6 \cdot 5 y}{5} - 15 = 2$

Step 3.5.1.1.2

Factor $0.2 y$ out of $2 y$ .

$\frac{0.2 y (10) + 0.6 \cdot 5 y}{5} - 15 = 2$

Step 3.5.1.1.3

Factor $0.2 y$ out of $0.6 \cdot 5 y$ .

$\frac{0.2 y (10) + 0.2 y (3 \cdot 5)}{5} - 15 = 2$

Step 3.5.1.1.4

Factor $0.2 y$ out of $0.2 y (10) + 0.2 y (3 \cdot 5)$ .

$\frac{0.2 y (10 + 3 \cdot 5)}{5} - 15 = 2$

Step 3.5.1.2

Combine exponents.

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Step 3.5.1.2.1

Multiply $3$ by $5$ .

$\frac{0.2 y (10 + 15)}{5} - 15 = 2$

Step 3.5.1.2.2

Multiply $10 + 15$ by $0.2$ .

$\frac{5 y}{5} - 15 = 2$

Step 3.5.2

Cancel the common factor of $5$ and $5$ .

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Step 3.5.2.1

Cancel the common factor.

$\frac{5 y}{5} - 15 = 2$

Step 3.5.2.2

Divide $y$ by $1$ .

$y - 15 = 2$

Step 4

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

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Step 4.1

Add $15$ to both sides of the equation.

$y = 2 + 15$

Step 4.2

Add $2$ and $15$ .

$y = 17$