Basic Math Examples

$4 y = k (2 - 3 y)$

Step 1

Simplify $k (2 - 3 y)$ .

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Step 1.1

Apply the distributive property.

$4 y = k \cdot 2 + k (- 3 y)$

Step 1.2

Reorder.

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Step 1.2.1

Move $2$ to the left of $k$ .

$4 y = 2 \cdot k + k (- 3 y)$

Step 1.2.2

Rewrite using the commutative property of multiplication.

$4 y = 2 k - 3 k y$

Step 2

Add $3 k y$ to both sides of the equation.

$4 y + 3 k y = 2 k$

Step 3

Factor $y$ out of $4 y + 3 k y$ .

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Step 3.1

Factor $y$ out of $4 y$ .

$y \cdot 4 + 3 k y = 2 k$

Step 3.2

Factor $y$ out of $3 k y$ .

$y \cdot 4 + y (3 k) = 2 k$

Step 3.3

Factor $y$ out of $y \cdot 4 + y (3 k)$ .

$y (4 + 3 k) = 2 k$

Step 4

Divide each term in $y (4 + 3 k) = 2 k$ by $4 + 3 k$ and simplify.

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Step 4.1

Divide each term in $y (4 + 3 k) = 2 k$ by $4 + 3 k$ .

$\frac{y (4 + 3 k)}{4 + 3 k} = \frac{2 k}{4 + 3 k}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $4 + 3 k$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{y (4 + 3 k)}{4 + 3 k} = \frac{2 k}{4 + 3 k}$

Step 4.2.1.2

Divide $y$ by $1$ .

$y = \frac{2 k}{4 + 3 k}$