Finite Math Examples

$3 y - y + 2 y - 5 = 7 - 2 y + 5$

Step 1

Simplify $3 y - y + 2 y - 5$ .

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Step 1.1

Subtract $y$ from $3 y$ .

$2 y + 2 y - 5 = 7 - 2 y + 5$

Step 1.2

Add $2 y$ and $2 y$ .

$4 y - 5 = 7 - 2 y + 5$

Step 2

Add $7$ and $5$ .

$4 y - 5 = - 2 y + 12$

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.

$4 y - 5 + 2 y = 12$

Step 3.2

Add $4 y$ and $2 y$ .

$6 y - 5 = 12$

Step 4

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

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Step 4.1

Add $5$ to both sides of the equation.

$6 y = 12 + 5$

Step 4.2

Add $12$ and $5$ .

$6 y = 17$

Step 5

Divide each term in $6 y = 17$ by $6$ and simplify.

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Step 5.1

Divide each term in $6 y = 17$ by $6$ .

$\frac{6 y}{6} = \frac{17}{6}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $6$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{6 y}{6} = \frac{17}{6}$

Step 5.2.1.2

Divide $y$ by $1$ .

$y = \frac{17}{6}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$y = \frac{17}{6}$

Decimal Form:

$y = 2.8\overline{3}$

Mixed Number Form:

$y = 2 \frac{5}{6}$