Basic Math Examples

$\frac{3}{2} - y = \frac{5}{2}$

Step 1

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

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Step 1.1

Subtract $\frac{3}{2}$ from both sides of the equation.

$- y = \frac{5}{2} - \frac{3}{2}$

Step 1.2

Combine the numerators over the common denominator.

$- y = \frac{5 - 3}{2}$

Step 1.3

Subtract $3$ from $5$ .

$- y = \frac{2}{2}$

Step 1.4

Divide $2$ by $2$ .

$- y = 1$

Step 2

Divide each term in $- y = 1$ by $- 1$ and simplify.

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Step 2.1

Divide each term in $- y = 1$ by $- 1$ .

$\frac{- y}{- 1} = \frac{1}{- 1}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{1}{- 1}$

Step 2.2.2

Divide $y$ by $1$ .

$y = \frac{1}{- 1}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $1$ by $- 1$ .

$y = - 1$