Basic Math Examples

$y - 3 = - \frac{5}{3} \cdot (n - 3)$

Step 1

Simplify $- \frac{5}{3} \cdot (n - 3)$ .

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Step 1.1

Rewrite.

$y - 3 = 0 + 0 - \frac{5}{3} \cdot (n - 3)$

Step 1.2

Simplify terms.

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Step 1.2.1

Apply the distributive property.

$y - 3 = - \frac{5}{3} n - \frac{5}{3} \cdot - 3$

Step 1.2.2

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

$y - 3 = - \frac{n \cdot 5}{3} - \frac{5}{3} \cdot - 3$

Step 1.2.3

Cancel the common factor of $3$ .

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Step 1.2.3.1

Move the leading negative in $- \frac{5}{3}$ into the numerator.

$y - 3 = - \frac{n \cdot 5}{3} + \frac{- 5}{3} \cdot - 3$

Step 1.2.3.2

Factor $3$ out of $- 3$ .

$y - 3 = - \frac{n \cdot 5}{3} + \frac{- 5}{3} \cdot (3 (- 1))$

Step 1.2.3.3

Cancel the common factor.

$y - 3 = - \frac{n \cdot 5}{3} + \frac{- 5}{3} \cdot (3 \cdot - 1)$

Step 1.2.3.4

Rewrite the expression.

$y - 3 = - \frac{n \cdot 5}{3} - 5 \cdot - 1$

Step 1.2.4

Multiply $- 5$ by $- 1$ .

$y - 3 = - \frac{n \cdot 5}{3} + 5$

Step 1.3

Move $5$ to the left of $n$ .

$y - 3 = - \frac{5 n}{3} + 5$

Step 2

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

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Step 2.1

Add $3$ to both sides of the equation.

$y = - \frac{5 n}{3} + 5 + 3$

Step 2.2

Add $5$ and $3$ .

$y = - \frac{5 n}{3} + 8$