Algebra Examples

$22 y + 7 = 8 y$

Step 1

Move all terms containing $y$ to the left side of the equation.

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Step 1.1

Subtract $8 y$ from both sides of the equation.

$22 y + 7 - 8 y = 0$

Step 1.2

Subtract $8 y$ from $22 y$ .

$14 y + 7 = 0$

$14 y + 7 = 0$

Step 2

Subtract $7$ from both sides of the equation.

$14 y = - 7$

Step 3

Divide each term in $14 y = - 7$ by $14$ and simplify.

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Step 3.1

Divide each term in $14 y = - 7$ by $14$ .

$\frac{14 y}{14} = \frac{- 7}{14}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $14$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{14 y}{14} = \frac{- 7}{14}$

Step 3.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 7}{14}$

$y = \frac{- 7}{14}$

$y = \frac{- 7}{14}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Cancel the common factor of $- 7$ and $14$ .

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Step 3.3.1.1

Factor $7$ out of $- 7$ .

$y = \frac{7 (- 1)}{14}$

Step 3.3.1.2

Cancel the common factors.

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Step 3.3.1.2.1

Factor $7$ out of $14$ .

$y = \frac{7 \cdot - 1}{7 \cdot 2}$

Step 3.3.1.2.2

Cancel the common factor.

$y = \frac{7 \cdot - 1}{7 \cdot 2}$

Step 3.3.1.2.3

Rewrite the expression.

$y = \frac{- 1}{2}$

$y = \frac{- 1}{2}$

$y = \frac{- 1}{2}$

Step 3.3.2

Move the negative in front of the fraction.

$y = - \frac{1}{2}$

$y = - \frac{1}{2}$

$y = - \frac{1}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{1}{2}$

Decimal Form:

$y = - 0.5$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$