Basic Math Examples

$6 - 2 y = 6 y - 10 y + 4$

Step 1

Since $y$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$6 y - 10 y + 4 = 6 - 2 y$

Step 2

Subtract $10 y$ from $6 y$ .

$- 4 y + 4 = 6 - 2 y$

Step 3

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

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Step 3.1

Add $2 y$ to both sides of the equation.

$- 4 y + 4 + 2 y = 6$

Step 3.2

Add $- 4 y$ and $2 y$ .

$- 2 y + 4 = 6$

Step 4

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

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Step 4.1

Subtract $4$ from both sides of the equation.

$- 2 y = 6 - 4$

Step 4.2

Subtract $4$ from $6$ .

$- 2 y = 2$

Step 5

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

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Step 5.1

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

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

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $- 2$ .

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Step 5.2.1.1

Cancel the common factor.

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

Step 5.2.1.2

Divide $y$ by $1$ .

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

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide $2$ by $- 2$ .

$y = - 1$