Basic Math Examples

$3 (7 y - 3) = 12 y$

Step 1

Simplify $3 (7 y - 3)$ .

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Step 1.1

Rewrite.

$0 + 0 + 3 (7 y - 3) = 12 y$

Step 1.2

Simplify by adding zeros.

$3 (7 y - 3) = 12 y$

Step 1.3

Apply the distributive property.

$3 (7 y) + 3 \cdot - 3 = 12 y$

Step 1.4

Multiply.

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Step 1.4.1

Multiply $7$ by $3$ .

$21 y + 3 \cdot - 3 = 12 y$

Step 1.4.2

Multiply $3$ by $- 3$ .

$21 y - 9 = 12 y$

Step 2

Move all terms containing $y$ to the left side of the equation.

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Step 2.1

Subtract $12 y$ from both sides of the equation.

$21 y - 9 - 12 y = 0$

Step 2.2

Subtract $12 y$ from $21 y$ .

$9 y - 9 = 0$

Step 3

Add $9$ to both sides of the equation.

$9 y = 9$

Step 4

Divide each term in $9 y = 9$ by $9$ and simplify.

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Step 4.1

Divide each term in $9 y = 9$ by $9$ .

$\frac{9 y}{9} = \frac{9}{9}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $9$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{9 y}{9} = \frac{9}{9}$

Step 4.2.1.2

Divide $y$ by $1$ .

$y = \frac{9}{9}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $9$ by $9$ .

$y = 1$