Algebra Examples

$4 x - 5 = 7 + 4 y$

Step 1

Rewrite the equation as $7 + 4 y = 4 x - 5$ .

$7 + 4 y = 4 x - 5$

Step 2

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

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Step 2.1

Subtract $7$ from both sides of the equation.

$4 y = 4 x - 5 - 7$

Step 2.2

Subtract $7$ from $- 5$ .

$4 y = 4 x - 12$

Step 3

Divide each term in $4 y = 4 x - 12$ by $4$ and simplify.

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Step 3.1

Divide each term in $4 y = 4 x - 12$ by $4$ .

$\frac{4 y}{4} = \frac{4 x}{4} + \frac{- 12}{4}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $4$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{4 y}{4} = \frac{4 x}{4} + \frac{- 12}{4}$

Step 3.2.1.2

Divide $y$ by $1$ .

$y = \frac{4 x}{4} + \frac{- 12}{4}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify each term.

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Step 3.3.1.1

Cancel the common factor of $4$ .

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Step 3.3.1.1.1

Cancel the common factor.

$y = \frac{4 x}{4} + \frac{- 12}{4}$

Step 3.3.1.1.2

Divide $x$ by $1$ .

$y = x + \frac{- 12}{4}$

Step 3.3.1.2

Divide $- 12$ by $4$ .

$y = x - 3$