Algebra Examples

$7 y - 4 + 3 y + 6 = 9 y + 8$

Step 1

Simplify $7 y - 4 + 3 y + 6$ .

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Step 1.1

Add $7 y$ and $3 y$ .

$10 y - 4 + 6 = 9 y + 8$

Step 1.2

Add $- 4$ and $6$ .

$10 y + 2 = 9 y + 8$

Step 2

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

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Step 2.1

Subtract $9 y$ from both sides of the equation.

$10 y + 2 - 9 y = 8$

Step 2.2

Subtract $9 y$ from $10 y$ .

$y + 2 = 8$

Step 3

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

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Step 3.1

Subtract $2$ from both sides of the equation.

$y = 8 - 2$

Step 3.2

Subtract $2$ from $8$ .

$y = 6$