Basic Math Examples

$54 = 50 + \frac{y - 40}{4}$

Step 1

Rewrite the equation as $50 + \frac{y - 40}{4} = 54$ .

$50 + \frac{y - 40}{4} = 54$

Step 2

Simplify $50 + \frac{y - 40}{4}$ .

Tap for more steps...

Step 2.1

To write $50$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$50 \cdot \frac{4}{4} + \frac{y - 40}{4} = 54$

Step 2.2

Simplify terms.

Tap for more steps...

Step 2.2.1

Combine $50$ and $\frac{4}{4}$ .

$\frac{50 \cdot 4}{4} + \frac{y - 40}{4} = 54$

Step 2.2.2

Combine the numerators over the common denominator.

$\frac{50 \cdot 4 + y - 40}{4} = 54$

Step 2.3

Simplify the numerator.

Tap for more steps...

Step 2.3.1

Multiply $50$ by $4$ .

$\frac{200 + y - 40}{4} = 54$

Step 2.3.2

Subtract $40$ from $200$ .

$\frac{y + 160}{4} = 54$

Step 3

Multiply both sides of the equation by $4$ .

$4 \frac{y + 160}{4} = 4 \cdot 54$

Step 4

Simplify both sides of the equation.

Tap for more steps...

Step 4.1

Simplify the left side.

Tap for more steps...

Step 4.1.1

Cancel the common factor of $4$ .

Tap for more steps...

Step 4.1.1.1

Cancel the common factor.

$4 \frac{y + 160}{4} = 4 \cdot 54$

Step 4.1.1.2

Rewrite the expression.

$y + 160 = 4 \cdot 54$

Step 4.2

Simplify the right side.

Tap for more steps...

Step 4.2.1

Multiply $4$ by $54$ .

$y + 160 = 216$

Step 5

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

Tap for more steps...

Step 5.1

Subtract $160$ from both sides of the equation.

$y = 216 - 160$

Step 5.2

Subtract $160$ from $216$ .

$y = 56$