Basic Math Examples

$3 (3 y - 1) - 3 (2 y) = 5$

Step 1

Simplify $3 (3 y - 1) - 3 \cdot (2 y)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$3 (3 y) + 3 \cdot - 1 - 3 \cdot (2 y) = 5$

Step 1.1.2

Multiply $3$ by $3$ .

$9 y + 3 \cdot - 1 - 3 \cdot (2 y) = 5$

Step 1.1.3

Multiply $3$ by $- 1$ .

$9 y - 3 - 3 \cdot (2 y) = 5$

Step 1.1.4

Multiply $2$ by $- 3$ .

$9 y - 3 - 6 y = 5$

Step 1.2

Subtract $6 y$ from $9 y$ .

$3 y - 3 = 5$

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.

$3 y = 5 + 3$

Step 2.2

Add $5$ and $3$ .

$3 y = 8$

Step 3

Divide each term in $3 y = 8$ by $3$ and simplify.

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Step 3.1

Divide each term in $3 y = 8$ by $3$ .

$\frac{3 y}{3} = \frac{8}{3}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $3$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{3 y}{3} = \frac{8}{3}$

Step 3.2.1.2

Divide $y$ by $1$ .

$y = \frac{8}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$y = \frac{8}{3}$

Decimal Form:

$y = 2.\overline{6}$

Mixed Number Form:

$y = 2 \frac{2}{3}$