Pre-Algebra Examples

$\frac{4}{3} y = 3 - x$

Step 1

The standard form of a linear equation is $A x + B y = C$ .

Step 2

Multiply both sides by $3$ .

$3 (\frac{4}{3} y) = 3 (3 - x)$

Step 3

Simplify the left side.

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Step 3.1

Simplify $3 (\frac{4}{3} y)$ .

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Step 3.1.1

Combine $\frac{4}{3}$ and $y$ .

$3 \frac{4 y}{3} = 3 (3 - x)$

Step 3.1.2

Cancel the common factor of $3$ .

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Step 3.1.2.1

Cancel the common factor.

$3 \frac{4 y}{3} = 3 (3 - x)$

Step 3.1.2.2

Rewrite the expression.

$4 y = 3 (3 - x)$

Step 4

Simplify the right side.

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Step 4.1

Simplify $3 (3 - x)$ .

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Step 4.1.1

Apply the distributive property.

$4 y = 3 \cdot 3 + 3 (- x)$

Step 4.1.2

Multiply.

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Step 4.1.2.1

Multiply $3$ by $3$ .

$4 y = 9 + 3 (- x)$

Step 4.1.2.2

Multiply $- 1$ by $3$ .

$4 y = 9 - 3 x$

Step 5

Move all terms containing variables to the left side of the equation.

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Step 5.1

Add $3 x$ to both sides of the equation.

$4 y + 3 x = 9$

Step 5.2

Reorder $4 y$ and $3 x$ .

$3 x + 4 y = 9$

Step 6