(sqrt(4y+1))-(sqrt(y-2))=3

Solution for (sqrt(4y+1))-(sqrt(y-2))=3 equation:

Simplifying
(sqrt(4y + 1)) + -1(sqrt(y + -2)) = 3

Reorder the terms:
(qrst(1 + 4y)) + -1(sqrt(y + -2)) = 3
((1 * qrst + 4y * qrst)) + -1(sqrt(y + -2)) = 3
((1qrst + 4qrsty)) + -1(sqrt(y + -2)) = 3
(1qrst + 4qrsty) + -1(sqrt(y + -2)) = 3

Remove parenthesis around (1qrst + 4qrsty)
1qrst + 4qrsty + -1(sqrt(y + -2)) = 3

Reorder the terms:
1qrst + 4qrsty + -1(qrst(-2 + y)) = 3
1qrst + 4qrsty + -1((-2 * qrst + y * qrst)) = 3
1qrst + 4qrsty + -1((-2qrst + qrsty)) = 3
1qrst + 4qrsty + (-2qrst * -1 + qrsty * -1) = 3
1qrst + 4qrsty + (2qrst + -1qrsty) = 3

Reorder the terms:
1qrst + 2qrst + 4qrsty + -1qrsty = 3

Combine like terms: 1qrst + 2qrst = 3qrst
3qrst + 4qrsty + -1qrsty = 3

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

Solving
3qrst + 3qrsty = 3

Solving for variable 'q'.

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

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

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

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + qrst + qrsty) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-1 + qrst + qrsty)' equal to zero and attempt to solve:

Simplifying
-1 + qrst + qrsty = 0

Solving
-1 + qrst + qrsty = 0

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

Add '1' to each side of the equation.
-1 + qrst + 1 + qrsty = 0 + 1

Reorder the terms:
-1 + 1 + qrst + qrsty = 0 + 1

Combine like terms: -1 + 1 = 0
0 + qrst + qrsty = 0 + 1
qrst + qrsty = 0 + 1

Combine like terms: 0 + 1 = 1
qrst + qrsty = 1

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.