Algebra Examples

$5 + y + (3 x - 7) i = 9 - 3 i$

Step 1

Apply the distributive property.

$5 + y + 3 x i - 7 i = 9 - 3 i$

Step 2

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

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Step 2.1

Subtract $5$ from both sides of the equation.

$y + 3 x i - 7 i = 9 - 3 i - 5$

Step 2.2

Subtract $3 x i$ from both sides of the equation.

$y - 7 i = 9 - 3 i - 5 - 3 x i$

Step 2.3

Add $7 i$ to both sides of the equation.

$y = 9 - 3 i - 5 - 3 x i + 7 i$

Step 2.4

Subtract $5$ from $9$ .

$y = 4 - 3 i - 3 x i + 7 i$

Step 2.5

Add $- 3 i$ and $7 i$ .

$y = 4 - 3 x i + 4 i$