Basic Math Examples

$4 y - 12 = y + 17$

Step 1

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

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Step 1.1

Subtract $y$ from both sides of the equation.

$4 y - 12 - y = 17$

Step 1.2

Subtract $y$ from $4 y$ .

$3 y - 12 = 17$

Step 2

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

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Step 2.1

Add $12$ to both sides of the equation.

$3 y = 17 + 12$

Step 2.2

Add $17$ and $12$ .

$3 y = 29$

Step 3

Divide each term in $3 y = 29$ by $3$ and simplify.

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Step 3.1

Divide each term in $3 y = 29$ by $3$ .

$\frac{3 y}{3} = \frac{29}{3}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $3$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{3 y}{3} = \frac{29}{3}$

Step 3.2.1.2

Divide $y$ by $1$ .

$y = \frac{29}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$y = \frac{29}{3}$

Decimal Form:

$y = 9.\overline{6}$

Mixed Number Form:

$y = 9 \frac{2}{3}$