Basic Math Examples

$- \frac{7}{5} \cdot (y (25)) - \frac{1}{15} y$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $5$ .

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Step 1.1.1

Move the leading negative in $- \frac{7}{5}$ into the numerator.

$\frac{- 7}{5} \cdot (y (25)) - \frac{1}{15} y$

Step 1.1.2

Factor $5$ out of $y (25)$ .

$\frac{- 7}{5} \cdot (5 (y \cdot (5))) - \frac{1}{15} y$

Step 1.1.3

Cancel the common factor.

$\frac{- 7}{5} \cdot (5 (y \cdot (5))) - \frac{1}{15} y$

Step 1.1.4

Rewrite the expression.

$- 7 \cdot (y \cdot (5)) - \frac{1}{15} y$

Step 1.2

Multiply $5$ by $- 7$ .

$- 35 \cdot y - \frac{1}{15} y$

Step 1.3

Combine $y$ and $\frac{1}{15}$ .

$- 35 y - \frac{y}{15}$

Step 2

To write $- 35 y$ as a fraction with a common denominator, multiply by $\frac{15}{15}$ .

$- 35 y \cdot \frac{15}{15} - \frac{y}{15}$

Step 3

Simplify terms.

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Step 3.1

Combine $- 35 y$ and $\frac{15}{15}$ .

$\frac{- 35 y \cdot 15}{15} - \frac{y}{15}$

Step 3.2

Combine the numerators over the common denominator.

$\frac{- 35 y \cdot 15 - y}{15}$

Step 4

Simplify the numerator.

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Step 4.1

Factor $y$ out of $- 35 y \cdot 15 - y$ .

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Step 4.1.1

Factor $y$ out of $- 35 y \cdot 15$ .

$\frac{y (- 35 \cdot 15) - y}{15}$

Step 4.1.2

Factor $y$ out of $- y$ .

$\frac{y (- 35 \cdot 15) + y \cdot - 1}{15}$

Step 4.1.3

Factor $y$ out of $y (- 35 \cdot 15) + y \cdot - 1$ .

$\frac{y (- 35 \cdot 15 - 1)}{15}$

Step 4.2

Multiply $- 35$ by $15$ .

$\frac{y (- 525 - 1)}{15}$

Step 4.3

Subtract $1$ from $- 525$ .

$\frac{y \cdot - 526}{15}$

Step 5

Simplify the expression.

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Step 5.1

Move $- 526$ to the left of $y$ .

$\frac{- 526 \cdot y}{15}$

Step 5.2

Move the negative in front of the fraction.

$- \frac{526 y}{15}$