4sin^2(7y)-4cos^2(7y)=4-8cos^2(7y)

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Solution for 4sin^2(7y)-4cos^2(7y)=4-8cos^2(7y) equation: 


Simplifying
4sin2(7y) + -4cos2(7y) = 4 + -8cos2(7y)

Remove parenthesis around (7y)
4in2s * 7y + -4cos2(7y) = 4 + -8cos2(7y)

Reorder the terms for easier multiplication:
4 * 7in2s * y + -4cos2(7y) = 4 + -8cos2(7y)

Multiply 4 * 7
28in2s * y + -4cos2(7y) = 4 + -8cos2(7y)

Multiply in2s * y
28in2sy + -4cos2(7y) = 4 + -8cos2(7y)

Remove parenthesis around (7y)
28in2sy + -4cos2 * 7y = 4 + -8cos2(7y)

Reorder the terms for easier multiplication:
28in2sy + -4 * 7cos2 * y = 4 + -8cos2(7y)

Multiply -4 * 7
28in2sy + -28cos2 * y = 4 + -8cos2(7y)

Multiply cos2 * y
28in2sy + -28cos2y = 4 + -8cos2(7y)

Reorder the terms:
-28cos2y + 28in2sy = 4 + -8cos2(7y)

Remove parenthesis around (7y)
-28cos2y + 28in2sy = 4 + -8cos2 * 7y

Reorder the terms for easier multiplication:
-28cos2y + 28in2sy = 4 + -8 * 7cos2 * y

Multiply -8 * 7
-28cos2y + 28in2sy = 4 + -56cos2 * y

Multiply cos2 * y
-28cos2y + 28in2sy = 4 + -56cos2y

Solving
-28cos2y + 28in2sy = 4 + -56cos2y

Solving for variable 'c'.

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

Add '56cos2y' to each side of the equation.
-28cos2y + 56cos2y + 28in2sy = 4 + -56cos2y + 56cos2y

Combine like terms: -28cos2y + 56cos2y = 28cos2y
28cos2y + 28in2sy = 4 + -56cos2y + 56cos2y

Combine like terms: -56cos2y + 56cos2y = 0
28cos2y + 28in2sy = 4 + 0
28cos2y + 28in2sy = 4

Add '-28in2sy' to each side of the equation.
28cos2y + 28in2sy + -28in2sy = 4 + -28in2sy

Combine like terms: 28in2sy + -28in2sy = 0
28cos2y + 0 = 4 + -28in2sy
28cos2y = 4 + -28in2sy

Divide each side by '28os2y'.
c = 0.1428571429o-1s-2y-1 + -1in2o-1s-1

Simplifying
c = 0.1428571429o-1s-2y-1 + -1in2o-1s-1

Reorder the terms:
c = -1in2o-1s-1 + 0.1428571429o-1s-2y-1

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