Basic Math Examples

$8 (y + 2) = 7 y - 2$

Step 1

Simplify $8 (y + 2)$ .

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Step 1.1

Rewrite.

$0 + 0 + 8 (y + 2) = 7 y - 2$

Step 1.2

Simplify by adding zeros.

$8 (y + 2) = 7 y - 2$

Step 1.3

Apply the distributive property.

$8 y + 8 \cdot 2 = 7 y - 2$

Step 1.4

Multiply $8$ by $2$ .

$8 y + 16 = 7 y - 2$

Step 2

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

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Step 2.1

Subtract $7 y$ from both sides of the equation.

$8 y + 16 - 7 y = - 2$

Step 2.2

Subtract $7 y$ from $8 y$ .

$y + 16 = - 2$

Step 3

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

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Step 3.1

Subtract $16$ from both sides of the equation.

$y = - 2 - 16$

Step 3.2

Subtract $16$ from $- 2$ .

$y = - 18$