Basic Math Examples

$\frac{y + 3}{y + 3} = \frac{1}{y + 2}$

Step 1

Reduce the expression by cancelling the common factors.

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Step 1.1

Reduce the expression $\frac{y + 3}{y + 3}$ by cancelling the common factors.

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Step 1.1.1

Cancel the common factor.

$\frac{y + 3}{y + 3} = \frac{1}{y + 2}$

Step 1.1.2

Rewrite the expression.

$\frac{1}{1} = \frac{1}{y + 2}$

Step 1.2

Rewrite the expression.

$1 = \frac{1}{y + 2}$

Step 2

Find the LCD of the terms in the equation.

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Step 2.1

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$1, y + 2$

Step 2.2

Remove parentheses.

$1, y + 2$

Step 2.3

The LCM of one and any expression is the expression.

$y + 2$

Step 3

Multiply each term in $1 = \frac{1}{y + 2}$ by $y + 2$ to eliminate the fractions.

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Step 3.1

Multiply each term in $1 = \frac{1}{y + 2}$ by $y + 2$ .

$1 (y + 2) = \frac{1}{y + 2} (y + 2)$

Step 3.2

Simplify the left side.

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Step 3.2.1

Multiply $y + 2$ by $1$ .

$y + 2 = \frac{1}{y + 2} (y + 2)$

Step 3.3

Simplify the right side.

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Step 3.3.1

Cancel the common factor of $y + 2$ .

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Step 3.3.1.1

Cancel the common factor.

$y + 2 = \frac{1}{y + 2} (y + 2)$

Step 3.3.1.2

Rewrite the expression.

$y + 2 = 1$

Step 4

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

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Step 4.1

Subtract $2$ from both sides of the equation.

$y = 1 - 2$

Step 4.2

Subtract $2$ from $1$ .

$y = - 1$