Pre-Algebra Examples

$3 y + 5 + 2 + y = 2 y + 4$

Step 1

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

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Step 1.1

Add $3 y$ and $y$ .

$4 y + 5 + 2 = 2 y + 4$

Step 1.2

Add $5$ and $2$ .

$4 y + 7 = 2 y + 4$

Step 2

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

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Step 2.1

Subtract $2 y$ from both sides of the equation.

$4 y + 7 - 2 y = 4$

Step 2.2

Subtract $2 y$ from $4 y$ .

$2 y + 7 = 4$

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.

$2 y = 4 - 7$

Step 3.2

Subtract $7$ from $4$ .

$2 y = - 3$

Step 4

Divide each term in $2 y = - 3$ by $2$ and simplify.

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Step 4.1

Divide each term in $2 y = - 3$ by $2$ .

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

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.

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

Step 4.2.1.2

Divide $y$ by $1$ .

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

Step 4.3

Simplify the right side.

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Step 4.3.1

Move the negative in front of the fraction.

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

Step 5

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$y = - 1.5$

Mixed Number Form:

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

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