(y+3)2-81=0

Solution for (y+3)2-81=0 equation:

Simplifying
(y + 3) * 2 + -81 = 0

Reorder the terms:
(3 + y) * 2 + -81 = 0

Reorder the terms for easier multiplication:
2(3 + y) + -81 = 0
(3 * 2 + y * 2) + -81 = 0
(6 + 2y) + -81 = 0

Reorder the terms:
6 + -81 + 2y = 0

Combine like terms: 6 + -81 = -75
-75 + 2y = 0

Solving
-75 + 2y = 0

Solving for variable 'y'.

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

Add '75' to each side of the equation.
-75 + 75 + 2y = 0 + 75

Combine like terms: -75 + 75 = 0
0 + 2y = 0 + 75
2y = 0 + 75

Combine like terms: 0 + 75 = 75
2y = 75

Divide each side by '2'.
y = 37.5

Simplifying
y = 37.5