y-[sqrty-6]=0

Solution for y-[sqrty-6]=0 equation:

Simplifying
y + -1[sqrty + -6] = 0

Reorder the terms:
y + -1[-6 + qrsty] = 0
y + [-6 * -1 + qrsty * -1] = 0
y + [6 + -1qrsty] = 0

Reorder the terms:
6 + -1qrsty + y = 0

Solving
6 + -1qrsty + y = 0

Solving for variable 'q'.

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

Add '-6' to each side of the equation.
6 + -1qrsty + -6 + y = 0 + -6

Reorder the terms:
6 + -6 + -1qrsty + y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1qrsty + y = 0 + -6
-1qrsty + y = 0 + -6

Combine like terms: 0 + -6 = -6
-1qrsty + y = -6

Add '-1y' to each side of the equation.
-1qrsty + y + -1y = -6 + -1y

Combine like terms: y + -1y = 0
-1qrsty + 0 = -6 + -1y
-1qrsty = -6 + -1y

Divide each side by '-1rsty'.
q = 6r-1s-1t-1y-1 + r-1s-1t-1

Simplifying
q = 6r-1s-1t-1y-1 + r-1s-1t-1

Reorder the terms:
q = r-1s-1t-1 + 6r-1s-1t-1y-1