Basic Math Examples

$- 4 y - \frac{5}{2} = \frac{35}{2}$

Step 1

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

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Step 1.1

Add $\frac{5}{2}$ to both sides of the equation.

$- 4 y = \frac{35}{2} + \frac{5}{2}$

Step 1.2

Combine the numerators over the common denominator.

$- 4 y = \frac{35 + 5}{2}$

Step 1.3

Add $35$ and $5$ .

$- 4 y = \frac{40}{2}$

Step 1.4

Divide $40$ by $2$ .

$- 4 y = 20$

Step 2

Divide each term in $- 4 y = 20$ by $- 4$ and simplify.

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Step 2.1

Divide each term in $- 4 y = 20$ by $- 4$ .

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

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 4$ .

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Step 2.2.1.1

Cancel the common factor.

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

Step 2.2.1.2

Divide $y$ by $1$ .

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

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $20$ by $- 4$ .

$y = - 5$