Basic Math Examples

$14 y - 10 = 3 (4 y)$

Step 1

Multiply $4$ by $3$ .

$14 y - 10 = 12 y$

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.

$14 y - 10 - 12 y = 0$

Step 2.2

Subtract $12 y$ from $14 y$ .

$2 y - 10 = 0$

Step 3

Add $10$ to both sides of the equation.

$2 y = 10$

Step 4

Divide each term in $2 y = 10$ by $2$ and simplify.

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Step 4.1

Divide each term in $2 y = 10$ by $2$ .

$\frac{2 y}{2} = \frac{10}{2}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $2$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{2 y}{2} = \frac{10}{2}$

Step 4.2.1.2

Divide $y$ by $1$ .

$y = \frac{10}{2}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $10$ by $2$ .

$y = 5$