Basic Math Examples

$3 - \frac{2}{5} y = 61$

Step 1

Subtract $61$ from both sides of the equation.

$3 - \frac{2}{5} y - 61 = 0$

Step 2

Simplify $3 - \frac{2}{5} y - 61$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

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

$3 - \frac{y \cdot 2}{5} - 61 = 0$

Step 2.1.2

Move $2$ to the left of $y$ .

$3 - \frac{2 y}{5} - 61 = 0$

Step 2.2

Subtract $61$ from $3$ .

$- \frac{2 y}{5} - 58 = 0$

Step 3

Factor the left side.

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Step 3.1

Factor $- 2$ out of $- \frac{2 y}{5} - 58$ .

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Step 3.1.1

Factor $- 2$ out of $- \frac{2 y}{5}$ .

$- 2 (- \frac{- y}{5}) - 58 = 0$

Step 3.1.2

Factor $- 2$ out of $- 58$ .

$- 2 (- \frac{- y}{5}) - 2 (29) = 0$

Step 3.1.3

Factor $- 2$ out of $- 2 (- \frac{- y}{5}) - 2 (29)$ .

$- 2 (- \frac{- y}{5} + 29) = 0$

Step 3.2

Move the negative in front of the fraction.

$- 2 (- - \frac{y}{5} + 29) = 0$

Step 3.3

Multiply $- - \frac{y}{5}$ .

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Step 3.3.1

Multiply $- 1$ by $- 1$ .

$- 2 (1 \frac{y}{5} + 29) = 0$

Step 3.3.2

Multiply $\frac{y}{5}$ by $1$ .

$- 2 (\frac{y}{5} + 29) = 0$

Step 3.4

To write $29$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$- 2 (\frac{y}{5} + 29 \cdot \frac{5}{5}) = 0$

Step 3.5

Combine $29$ and $\frac{5}{5}$ .

$- 2 (\frac{y}{5} + \frac{29 \cdot 5}{5}) = 0$

Step 3.6

Combine the numerators over the common denominator.

$- 2 \frac{y + 29 \cdot 5}{5} = 0$

Step 3.7

Multiply $29$ by $5$ .

$- 2 \frac{y + 145}{5} = 0$