sqrt(4y+20)-sqrt(y-4)=6

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Solution for sqrt(4y+20)-sqrt(y-4)=6 equation: 


Simplifying
sqrt(4y + 20) + -1sqrt(y + -4) = 6

Reorder the terms:
qrst(20 + 4y) + -1sqrt(y + -4) = 6
(20 * qrst + 4y * qrst) + -1sqrt(y + -4) = 6
(20qrst + 4qrsty) + -1sqrt(y + -4) = 6

Reorder the terms:
20qrst + 4qrsty + -1qrst(-4 + y) = 6
20qrst + 4qrsty + (-4 * -1qrst + y * -1qrst) = 6
20qrst + 4qrsty + (4qrst + -1qrsty) = 6

Reorder the terms:
20qrst + 4qrst + 4qrsty + -1qrsty = 6

Combine like terms: 20qrst + 4qrst = 24qrst
24qrst + 4qrsty + -1qrsty = 6

Combine like terms: 4qrsty + -1qrsty = 3qrsty
24qrst + 3qrsty = 6

Solving
24qrst + 3qrsty = 6

Solving for variable 'q'.

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

Reorder the terms:
-6 + 24qrst + 3qrsty = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + 24qrst + 3qrsty = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-2 + 8qrst + qrsty) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-2 + 8qrst + qrsty)' equal to zero and attempt to solve:

Simplifying
-2 + 8qrst + qrsty = 0

Solving
-2 + 8qrst + qrsty = 0

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

Add '2' to each side of the equation.
-2 + 8qrst + 2 + qrsty = 0 + 2

Reorder the terms:
-2 + 2 + 8qrst + qrsty = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 8qrst + qrsty = 0 + 2
8qrst + qrsty = 0 + 2

Combine like terms: 0 + 2 = 2
8qrst + qrsty = 2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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