Basic Math Examples

$63 \cdot \frac{8}{y} + 41 = 55$

Step 1

Multiply $63 \frac{8}{y}$ .

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Step 1.1

Combine $63$ and $\frac{8}{y}$ .

$\frac{63 \cdot 8}{y} + 41 = 55$

Step 1.2

Multiply $63$ by $8$ .

$\frac{504}{y} + 41 = 55$

Step 2

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

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Step 2.1

Subtract $41$ from both sides of the equation.

$\frac{504}{y} = 55 - 41$

Step 2.2

Subtract $41$ from $55$ .

$\frac{504}{y} = 14$

Step 3

Find the LCD of the terms in the equation.

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Step 3.1

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

$y, 1$

Step 3.2

The LCM of one and any expression is the expression.

$y$

Step 4

Multiply each term in $\frac{504}{y} = 14$ by $y$ to eliminate the fractions.

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Step 4.1

Multiply each term in $\frac{504}{y} = 14$ by $y$ .

$\frac{504}{y} y = 14 y$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $y$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{504}{y} y = 14 y$

Step 4.2.1.2

Rewrite the expression.

$504 = 14 y$

Step 5

Solve the equation.

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Step 5.1

Rewrite the equation as $14 y = 504$ .

$14 y = 504$

Step 5.2

Divide each term in $14 y = 504$ by $14$ and simplify.

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Step 5.2.1

Divide each term in $14 y = 504$ by $14$ .

$\frac{14 y}{14} = \frac{504}{14}$

Step 5.2.2

Simplify the left side.

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Step 5.2.2.1

Cancel the common factor of $14$ .

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Step 5.2.2.1.1

Cancel the common factor.

$\frac{14 y}{14} = \frac{504}{14}$

Step 5.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{504}{14}$

Step 5.2.3

Simplify the right side.

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Step 5.2.3.1

Divide $504$ by $14$ .

$y = 36$