8siny=4(siny-2)

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Solution for 8siny=4(siny-2) equation:


Simplifying
8siny = 4(siny + -2)

Reorder the terms:
8insy = 4(-2 + insy)
8insy = (-2 * 4 + insy * 4)
8insy = (-8 + 4insy)

Solving
8insy = -8 + 4insy

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '-4insy' to each side of the equation.
8insy + -4insy = -8 + 4insy + -4insy

Combine like terms: 8insy + -4insy = 4insy
4insy = -8 + 4insy + -4insy

Combine like terms: 4insy + -4insy = 0
4insy = -8 + 0
4insy = -8

Divide each side by '4nsy'.
i = -2n-1s-1y-1

Simplifying
i = -2n-1s-1y-1

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