Basic Math Examples

$3 \cdot - 7 = - 6 y - 28$

Step 1

Rewrite the equation as $- 6 y - 28 = 3 \cdot - 7$ .

$- 6 y - 28 = 3 \cdot - 7$

Step 2

Multiply $3$ by $- 7$ .

$- 6 y - 28 = - 21$

Step 3

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

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Step 3.1

Add $28$ to both sides of the equation.

$- 6 y = - 21 + 28$

Step 3.2

Add $- 21$ and $28$ .

$- 6 y = 7$

Step 4

Divide each term in $- 6 y = 7$ by $- 6$ and simplify.

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Step 4.1

Divide each term in $- 6 y = 7$ by $- 6$ .

$\frac{- 6 y}{- 6} = \frac{7}{- 6}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $- 6$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{- 6 y}{- 6} = \frac{7}{- 6}$

Step 4.2.1.2

Divide $y$ by $1$ .

$y = \frac{7}{- 6}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Move the negative in front of the fraction.

$y = - \frac{7}{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{7}{6}$

Decimal Form:

$y = - 1.1\overline{6}$

Mixed Number Form:

$y = - 1 \frac{1}{6}$