Algebra Examples

$- 3 = 7 (y - \frac{9}{7})$

Step 1

Rewrite the equation as $7 (y - \frac{9}{7}) = - 3$ .

$7 (y - \frac{9}{7}) = - 3$

Step 2

Simplify $7 (y - \frac{9}{7})$ .

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Step 2.1

Apply the distributive property.

$7 y + 7 (- \frac{9}{7}) = - 3$

Step 2.2

Cancel the common factor of $7$ .

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Step 2.2.1

Move the leading negative in $- \frac{9}{7}$ into the numerator.

$7 y + 7 (\frac{- 9}{7}) = - 3$

Step 2.2.2

Cancel the common factor.

$7 y + 7 (\frac{- 9}{7}) = - 3$

Step 2.2.3

Rewrite the expression.

$7 y - 9 = - 3$

Step 3

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

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Step 3.1

Add $9$ to both sides of the equation.

$7 y = - 3 + 9$

Step 3.2

Add $- 3$ and $9$ .

$7 y = 6$

Step 4

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

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Step 4.1

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

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

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $7$ .

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Step 4.2.1.1

Cancel the common factor.

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

Step 4.2.1.2

Divide $y$ by $1$ .

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

Step 5

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$y = 0.\overline{857142}$