Basic Math Examples

$a y - 2 = d y + 4$

Step 1

Subtract $d y$ from both sides of the equation.

$a y - 2 - d y = 4$

Step 2

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

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Step 2.1

Add $2$ to both sides of the equation.

$a y - d y = 4 + 2$

Step 2.2

Add $4$ and $2$ .

$a y - d y = 6$

Step 3

Factor $y$ out of $a y - d y$ .

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Step 3.1

Factor $y$ out of $a y$ .

$y a - d y = 6$

Step 3.2

Factor $y$ out of $- d y$ .

$y a + y (- d) = 6$

Step 3.3

Factor $y$ out of $y a + y (- d)$ .

$y (a - d) = 6$

Step 4

Divide each term in $y (a - d) = 6$ by $a - d$ and simplify.

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Step 4.1

Divide each term in $y (a - d) = 6$ by $a - d$ .

$\frac{y (a - d)}{a - d} = \frac{6}{a - d}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $a - d$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{y (a - d)}{a - d} = \frac{6}{a - d}$

Step 4.2.1.2

Divide $y$ by $1$ .

$y = \frac{6}{a - d}$