Basic Math Examples

$4.05 x + 14.4 = 4.5 (y + 3)$

Step 1

Rewrite the equation as $4.5 (y + 3) = 4.05 x + 14.4$ .

$4.5 (y + 3) = 4.05 x + 14.4$

Step 2

Divide each term in $4.5 (y + 3) = 4.05 x + 14.4$ by $4.5$ and simplify.

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Step 2.1

Divide each term in $4.5 (y + 3) = 4.05 x + 14.4$ by $4.5$ .

$\frac{4.5 (y + 3)}{4.5} = \frac{4.05 x}{4.5} + \frac{14.4}{4.5}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $4.5$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{4.5 (y + 3)}{4.5} = \frac{4.05 x}{4.5} + \frac{14.4}{4.5}$

Step 2.2.1.2

Divide $y + 3$ by $1$ .

$y + 3 = \frac{4.05 x}{4.5} + \frac{14.4}{4.5}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Factor $4.05$ out of $4.05 x$ .

$y + 3 = \frac{4.05 (x)}{4.5} + \frac{14.4}{4.5}$

Step 2.3.1.2

Factor $4.5$ out of $4.5$ .

$y + 3 = \frac{4.05 (x)}{4.5 (1)} + \frac{14.4}{4.5}$

Step 2.3.1.3

Separate fractions.

$y + 3 = \frac{4.05}{4.5} \cdot \frac{x}{1} + \frac{14.4}{4.5}$

Step 2.3.1.4

Divide $4.05$ by $4.5$ .

$y + 3 = 0.9 \frac{x}{1} + \frac{14.4}{4.5}$

Step 2.3.1.5

Divide $x$ by $1$ .

$y + 3 = 0.9 x + \frac{14.4}{4.5}$

Step 2.3.1.6

Divide $14.4$ by $4.5$ .

$y + 3 = 0.9 x + 3.2$

Step 3

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

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Step 3.1

Subtract $3$ from both sides of the equation.

$y = 0.9 x + 3.2 - 3$

Step 3.2

Subtract $3$ from $3.2$ .

$y = 0.9 x + 0.2$