Pre-Algebra Examples

$- 27.9 = \frac{y}{2} - 2.3$

Step 1

Rewrite the equation as $\frac{y}{2} - 2.3 = - 27.9$ .

$\frac{y}{2} - 2.3 = - 27.9$

Step 2

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

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Step 2.1

Add $2.3$ to both sides of the equation.

$\frac{y}{2} = - 27.9 + 2.3$

Step 2.2

Add $- 27.9$ and $2.3$ .

$\frac{y}{2} = - 25.6$

Step 3

Multiply both sides of the equation by $2$ .

$2 \frac{y}{2} = 2 \cdot - 25.6$

Step 4

Simplify both sides of the equation.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Cancel the common factor of $2$ .

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Step 4.1.1.1

Cancel the common factor.

$2 \frac{y}{2} = 2 \cdot - 25.6$

Step 4.1.1.2

Rewrite the expression.

$y = 2 \cdot - 25.6$

Step 4.2

Simplify the right side.

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Step 4.2.1

Multiply $2$ by $- 25.6$ .

$y = - 51.2$