Basic Math Examples

$7 y + 5 + 2 y - 6 = 5 y - 8 - 2 y + 10$

Step 1

Simplify $7 y + 5 + 2 y - 6$ .

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Step 1.1

Add $7 y$ and $2 y$ .

$9 y + 5 - 6 = 5 y - 8 - 2 y + 10$

Step 1.2

Subtract $6$ from $5$ .

$9 y - 1 = 5 y - 8 - 2 y + 10$

Step 2

Simplify $5 y - 8 - 2 y + 10$ .

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Step 2.1

Subtract $2 y$ from $5 y$ .

$9 y - 1 = 3 y - 8 + 10$

Step 2.2

Add $- 8$ and $10$ .

$9 y - 1 = 3 y + 2$

Step 3

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

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Step 3.1

Subtract $3 y$ from both sides of the equation.

$9 y - 1 - 3 y = 2$

Step 3.2

Subtract $3 y$ from $9 y$ .

$6 y - 1 = 2$

Step 4

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

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Step 4.1

Add $1$ to both sides of the equation.

$6 y = 2 + 1$

Step 4.2

Add $2$ and $1$ .

$6 y = 3$

Step 5

Divide each term in $6 y = 3$ by $6$ and simplify.

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Step 5.1

Divide each term in $6 y = 3$ by $6$ .

$\frac{6 y}{6} = \frac{3}{6}$

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.

$\frac{6 y}{6} = \frac{3}{6}$

Step 5.2.1.2

Divide $y$ by $1$ .

$y = \frac{3}{6}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Cancel the common factor of $3$ and $6$ .

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Step 5.3.1.1

Factor $3$ out of $3$ .

$y = \frac{3 (1)}{6}$

Step 5.3.1.2

Cancel the common factors.

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Step 5.3.1.2.1

Factor $3$ out of $6$ .

$y = \frac{3 \cdot 1}{3 \cdot 2}$

Step 5.3.1.2.2

Cancel the common factor.

$y = \frac{3 \cdot 1}{3 \cdot 2}$

Step 5.3.1.2.3

Rewrite the expression.

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

Step 6

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$y = 0.5$