0=[(4y-1)+z][(4y-1)+z]

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Solution for 0=[(4y-1)+z][(4y-1)+z] equation: 


Simplifying
0 = [(4y + -1) + z][(4y + -1) + z]

Reorder the terms:
0 = [(-1 + 4y) + z][(4y + -1) + z]

Remove parenthesis around (-1 + 4y)
0 = [-1 + 4y + z][(4y + -1) + z]

Reorder the terms:
0 = [-1 + 4y + z][(-1 + 4y) + z]

Remove parenthesis around (-1 + 4y)
0 = [-1 + 4y + z][-1 + 4y + z]

Multiply [-1 + 4y + z] * [-1 + 4y + z]
0 = [-1[-1 + 4y + z] + 4y * [-1 + 4y + z] + z[-1 + 4y + z]]
0 = [[-1 * -1 + 4y * -1 + z * -1] + 4y * [-1 + 4y + z] + z[-1 + 4y + z]]
0 = [[1 + -4y + -1z] + 4y * [-1 + 4y + z] + z[-1 + 4y + z]]
0 = [1 + -4y + -1z + [-1 * 4y + 4y * 4y + z * 4y] + z[-1 + 4y + z]]

Reorder the terms:
0 = [1 + -4y + -1z + [-4y + 4yz + 16y2] + z[-1 + 4y + z]]
0 = [1 + -4y + -1z + [-4y + 4yz + 16y2] + z[-1 + 4y + z]]
0 = [1 + -4y + -1z + -4y + 4yz + 16y2 + [-1 * z + 4y * z + z * z]]

Reorder the terms:
0 = [1 + -4y + -1z + -4y + 4yz + 16y2 + [4yz + -1z + z2]]
0 = [1 + -4y + -1z + -4y + 4yz + 16y2 + [4yz + -1z + z2]]

Reorder the terms:
0 = [1 + -4y + -4y + 4yz + 4yz + 16y2 + -1z + -1z + z2]

Combine like terms: -4y + -4y = -8y
0 = [1 + -8y + 4yz + 4yz + 16y2 + -1z + -1z + z2]

Combine like terms: 4yz + 4yz = 8yz
0 = [1 + -8y + 8yz + 16y2 + -1z + -1z + z2]

Combine like terms: -1z + -1z = -2z
0 = [1 + -8y + 8yz + 16y2 + -2z + z2]

Solving
0 = 1 + -8y + 8yz + 16y2 + -2z + z2

Solving for variable 'y'.

Combine like terms: 0 + -1 = -1
-1 + 8y + -8yz + -16y2 + 2z + -1z2 = 1 + -8y + 8yz + 16y2 + -2z + z2 + -1 + 8y + -8yz + -16y2 + 2z + -1z2

Reorder the terms:
-1 + 8y + -8yz + -16y2 + 2z + -1z2 = 1 + -1 + -8y + 8y + 8yz + -8yz + 16y2 + -16y2 + -2z + 2z + z2 + -1z2

Combine like terms: 1 + -1 = 0
-1 + 8y + -8yz + -16y2 + 2z + -1z2 = 0 + -8y + 8y + 8yz + -8yz + 16y2 + -16y2 + -2z + 2z + z2 + -1z2
-1 + 8y + -8yz + -16y2 + 2z + -1z2 = -8y + 8y + 8yz + -8yz + 16y2 + -16y2 + -2z + 2z + z2 + -1z2

Combine like terms: -8y + 8y = 0
-1 + 8y + -8yz + -16y2 + 2z + -1z2 = 0 + 8yz + -8yz + 16y2 + -16y2 + -2z + 2z + z2 + -1z2
-1 + 8y + -8yz + -16y2 + 2z + -1z2 = 8yz + -8yz + 16y2 + -16y2 + -2z + 2z + z2 + -1z2

Combine like terms: 8yz + -8yz = 0
-1 + 8y + -8yz + -16y2 + 2z + -1z2 = 0 + 16y2 + -16y2 + -2z + 2z + z2 + -1z2
-1 + 8y + -8yz + -16y2 + 2z + -1z2 = 16y2 + -16y2 + -2z + 2z + z2 + -1z2

Combine like terms: 16y2 + -16y2 = 0
-1 + 8y + -8yz + -16y2 + 2z + -1z2 = 0 + -2z + 2z + z2 + -1z2
-1 + 8y + -8yz + -16y2 + 2z + -1z2 = -2z + 2z + z2 + -1z2

Combine like terms: -2z + 2z = 0
-1 + 8y + -8yz + -16y2 + 2z + -1z2 = 0 + z2 + -1z2
-1 + 8y + -8yz + -16y2 + 2z + -1z2 = z2 + -1z2

Combine like terms: z2 + -1z2 = 0
-1 + 8y + -8yz + -16y2 + 2z + -1z2 = 0

The solution to this equation could not be determined.

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