Basic Math Examples

$3 (K + 1) \cdot - 2 + 2 K y - 8 = 0$

Step 1

Simplify $3 (K + 1) \cdot - 2 + 2 K y - 8$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$(3 K + 3 \cdot 1) \cdot - 2 + 2 K y - 8 = 0$

Step 1.1.2

Multiply $3$ by $1$ .

$(3 K + 3) \cdot - 2 + 2 K y - 8 = 0$

Step 1.1.3

Apply the distributive property.

$3 K \cdot - 2 + 3 \cdot - 2 + 2 K y - 8 = 0$

Step 1.1.4

Multiply $- 2$ by $3$ .

$- 6 K + 3 \cdot - 2 + 2 K y - 8 = 0$

Step 1.1.5

Multiply $3$ by $- 2$ .

$- 6 K - 6 + 2 K y - 8 = 0$

Step 1.2

Subtract $8$ from $- 6$ .

$- 6 K + 2 K y - 14 = 0$

Step 2

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

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Step 2.1

Add $6 K$ to both sides of the equation.

$2 K y - 14 = 6 K$

Step 2.2

Add $14$ to both sides of the equation.

$2 K y = 6 K + 14$

Step 3

Divide each term in $2 K y = 6 K + 14$ by $2 K$ and simplify.

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Step 3.1

Divide each term in $2 K y = 6 K + 14$ by $2 K$ .

$\frac{2 K y}{2 K} = \frac{6 K}{2 K} + \frac{14}{2 K}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $2$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{2 K y}{2 K} = \frac{6 K}{2 K} + \frac{14}{2 K}$

Step 3.2.1.2

Rewrite the expression.

$\frac{K y}{K} = \frac{6 K}{2 K} + \frac{14}{2 K}$

Step 3.2.2

Cancel the common factor of $K$ .

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Step 3.2.2.1

Cancel the common factor.

$\frac{K y}{K} = \frac{6 K}{2 K} + \frac{14}{2 K}$

Step 3.2.2.2

Divide $y$ by $1$ .

$y = \frac{6 K}{2 K} + \frac{14}{2 K}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify each term.

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Step 3.3.1.1

Cancel the common factor of $6$ and $2$ .

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Step 3.3.1.1.1

Factor $2$ out of $6 K$ .

$y = \frac{2 (3 K)}{2 K} + \frac{14}{2 K}$

Step 3.3.1.1.2

Cancel the common factors.

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Step 3.3.1.1.2.1

Factor $2$ out of $2 K$ .

$y = \frac{2 (3 K)}{2 (K)} + \frac{14}{2 K}$

Step 3.3.1.1.2.2

Cancel the common factor.

$y = \frac{2 (3 K)}{2 K} + \frac{14}{2 K}$

Step 3.3.1.1.2.3

Rewrite the expression.

$y = \frac{3 K}{K} + \frac{14}{2 K}$

Step 3.3.1.2

Cancel the common factor of $K$ .

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Step 3.3.1.2.1

Cancel the common factor.

$y = \frac{3 K}{K} + \frac{14}{2 K}$

Step 3.3.1.2.2

Divide $3$ by $1$ .

$y = 3 + \frac{14}{2 K}$

Step 3.3.1.3

Cancel the common factor of $14$ and $2$ .

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Step 3.3.1.3.1

Factor $2$ out of $14$ .

$y = 3 + \frac{2 \cdot 7}{2 K}$

Step 3.3.1.3.2

Cancel the common factors.

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Step 3.3.1.3.2.1

Factor $2$ out of $2 K$ .

$y = 3 + \frac{2 \cdot 7}{2 (K)}$

Step 3.3.1.3.2.2

Cancel the common factor.

$y = 3 + \frac{2 \cdot 7}{2 K}$

Step 3.3.1.3.2.3

Rewrite the expression.

$y = 3 + \frac{7}{K}$