Basic Math Examples

$\frac{20 y - 12}{4 y} = 4$

Step 1

Factor each term.

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Step 1.1

Factor $4$ out of $20 y - 12$ .

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Step 1.1.1

Factor $4$ out of $20 y$ .

$\frac{4 (5 y) - 12}{4 y} = 4$

Step 1.1.2

Factor $4$ out of $- 12$ .

$\frac{4 (5 y) + 4 (- 3)}{4 y} = 4$

Step 1.1.3

Factor $4$ out of $4 (5 y) + 4 (- 3)$ .

$\frac{4 (5 y - 3)}{4 y} = 4$

Step 1.2

Reduce the expression $\frac{4 (5 y - 3)}{4 y}$ by cancelling the common factors.

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Step 1.2.1

Cancel the common factor.

$\frac{4 (5 y - 3)}{4 y} = 4$

Step 1.2.2

Rewrite the expression.

$\frac{5 y - 3}{y} = 4$

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.

$y, 1$

Step 2.2

The LCM of one and any expression is the expression.

$y$

Step 3

Multiply each term in $\frac{5 y - 3}{y} = 4$ by $y$ to eliminate the fractions.

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Step 3.1

Multiply each term in $\frac{5 y - 3}{y} = 4$ by $y$ .

$\frac{5 y - 3}{y} y = 4 y$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $y$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{5 y - 3}{y} y = 4 y$

Step 3.2.1.2

Rewrite the expression.

$5 y - 3 = 4 y$

Step 4

Solve the equation.

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Step 4.1

Move all terms containing $y$ to the left side of the equation.

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Step 4.1.1

Subtract $4 y$ from both sides of the equation.

$5 y - 3 - 4 y = 0$

Step 4.1.2

Subtract $4 y$ from $5 y$ .

$y - 3 = 0$

Step 4.2

Add $3$ to both sides of the equation.

$y = 3$