Basic Math Examples

$5.4 y + 6 - 6.4 y = 4$

Step 1

Subtract $6.4 y$ from $5.4 y$ .

$- 1 y + 6 = 4$

Step 2

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

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Step 2.1

Subtract $6$ from both sides of the equation.

$- 1 y = 4 - 6$

Step 2.2

Subtract $6$ from $4$ .

$- 1 y = - 2$

Step 3

Divide each term in $- 1 y = - 2$ by $- 1$ and simplify.

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Step 3.1

Divide each term in $- 1 y = - 2$ by $- 1$ .

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

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 1$ .

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Step 3.2.1.1

Rewrite $- 1$ as $- 1 (1)$ .

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

Step 3.2.1.2

Factor $1$ out of $- 1 (1) y$ .

$\frac{1 (- 1 \cdot 1 y)}{- 1} = \frac{- 2}{- 1}$

Step 3.2.1.3

Move the negative one from the denominator of $\frac{- 1 \cdot 1 y}{- 1}$ .

$- 1 \cdot (- 1 \cdot 1 y) = \frac{- 2}{- 1}$

Step 3.2.2

Simplify the expression.

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Step 3.2.2.1

Rewrite $- 1 \cdot (- 1 \cdot 1 y)$ as $- (- 1 \cdot 1 y)$ .

$- (- 1 \cdot 1 y) = \frac{- 2}{- 1}$

Step 3.2.2.2

Multiply $- 1$ by $1$ .

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

Step 3.2.2.3

Rewrite $- 1 y$ as $- y$ .

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

Step 3.2.3

Multiply $- - y$ .

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Step 3.2.3.1

Multiply $- 1$ by $- 1$ .

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

Step 3.2.3.2

Multiply $y$ by $1$ .

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

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $- 2$ by $- 1$ .

$y = 2$