Algebra Examples

$\frac{3}{5} y + (- \frac{6}{5} y)$

Step 1

Remove parentheses.

$\frac{3}{5} y - \frac{6}{5} y$

Step 2

Simplify each term.

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Step 2.1

Combine $\frac{3}{5}$ and $y$ .

$\frac{3 y}{5} - \frac{6}{5} y$

Step 2.2

Combine $y$ and $\frac{6}{5}$ .

$\frac{3 y}{5} - \frac{y \cdot 6}{5}$

Step 2.3

Move $6$ to the left of $y$ .

$\frac{3 y}{5} - \frac{6 y}{5}$

Step 3

Simplify terms.

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Step 3.1

Combine the numerators over the common denominator.

$\frac{3 y - 6 y}{5}$

Step 3.2

Subtract $6 y$ from $3 y$ .

$\frac{- 3 y}{5}$

Step 3.3

Move the negative in front of the fraction.

$- \frac{3 y}{5}$