Apply the distributive property.

Subtract from both sides of the equation.

Subtract from both sides of the equation.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Simplify each term.

Multiply the numerator and denominator of by the conjugate of to make the denominator real.

Multiply.

Combine.

Simplify the denominator.

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Rewrite as .

Move the negative one from the denominator of .

Rewrite as .

Multiply by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Multiply the numerator and denominator of by the conjugate of to make the denominator real.

Multiply.

Combine.

Simplify the denominator.

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Rewrite as .

Move the negative one from the denominator of .

Rewrite as .

Multiply by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Solve for y 8+(3x+y)i=2x-4i