Basic Math Examples

$4 = \frac{1}{5} \cdot (y - 3)$

Step 1

Rewrite the equation as $\frac{1}{5} \cdot (y - 3) = 4$ .

$\frac{1}{5} \cdot (y - 3) = 4$

Step 2

Multiply both sides of the equation by $5$ .

$5 (\frac{1}{5} \cdot (y - 3)) = 5 \cdot 4$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Simplify $5 (\frac{1}{5} \cdot (y - 3))$ .

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Step 3.1.1.1

Apply the distributive property.

$5 (\frac{1}{5} y + \frac{1}{5} \cdot - 3) = 5 \cdot 4$

Step 3.1.1.2

Combine $\frac{1}{5}$ and $y$ .

$5 (\frac{y}{5} + \frac{1}{5} \cdot - 3) = 5 \cdot 4$

Step 3.1.1.3

Combine $\frac{1}{5}$ and $- 3$ .

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

Step 3.1.1.4

Move the negative in front of the fraction.

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

Step 3.1.1.5

Apply the distributive property.

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

Step 3.1.1.6

Cancel the common factor of $5$ .

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Step 3.1.1.6.1

Cancel the common factor.

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

Step 3.1.1.6.2

Rewrite the expression.

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

Step 3.1.1.7

Cancel the common factor of $5$ .

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Step 3.1.1.7.1

Move the leading negative in $- \frac{3}{5}$ into the numerator.

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

Step 3.1.1.7.2

Cancel the common factor.

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

Step 3.1.1.7.3

Rewrite the expression.

$y - 3 = 5 \cdot 4$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $5$ by $4$ .

$y - 3 = 20$

Step 4

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

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Step 4.1

Add $3$ to both sides of the equation.

$y = 20 + 3$

Step 4.2

Add $20$ and $3$ .

$y = 23$