Basic Math Examples

$6 y + 7 = - 8 + 4 y + 19$

Step 1

Add $- 8$ and $19$ .

$6 y + 7 = 4 y + 11$

Step 2

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

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Step 2.1

Subtract $4 y$ from both sides of the equation.

$6 y + 7 - 4 y = 11$

Step 2.2

Subtract $4 y$ from $6 y$ .

$2 y + 7 = 11$

Step 3

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

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Step 3.1

Subtract $7$ from both sides of the equation.

$2 y = 11 - 7$

Step 3.2

Subtract $7$ from $11$ .

$2 y = 4$

Step 4

Divide each term in $2 y = 4$ by $2$ and simplify.

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Step 4.1

Divide each term in $2 y = 4$ by $2$ .

$\frac{2 y}{2} = \frac{4}{2}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $2$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{2 y}{2} = \frac{4}{2}$

Step 4.2.1.2

Divide $y$ by $1$ .

$y = \frac{4}{2}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $4$ by $2$ .

$y = 2$