Finite Math Examples

$z = 4 x + y$

Step 1

Rewrite the equation as $4 x + y = z$ .

$4 x + y = z$

Step 2

Subtract $y$ from both sides of the equation.

$4 x = z - y$

Step 3

Divide each term in $4 x = z - y$ by $4$ and simplify.

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Step 3.1

Divide each term in $4 x = z - y$ by $4$ .

$\frac{4 x}{4} = \frac{z}{4} + \frac{- y}{4}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $4$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{4 x}{4} = \frac{z}{4} + \frac{- y}{4}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{z}{4} + \frac{- y}{4}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Move the negative in front of the fraction.

$x = \frac{z}{4} - \frac{y}{4}$