(x+6)2=(y+3)2

Solution for (x+6)2=(y+3)2 equation:

Simplifying
(x + 6) * 2 = (y + 3) * 2

Reorder the terms:
(6 + x) * 2 = (y + 3) * 2

Reorder the terms for easier multiplication:
2(6 + x) = (y + 3) * 2
(6 * 2 + x * 2) = (y + 3) * 2
(12 + 2x) = (y + 3) * 2

Reorder the terms:
12 + 2x = (3 + y) * 2

Reorder the terms for easier multiplication:
12 + 2x = 2(3 + y)
12 + 2x = (3 * 2 + y * 2)
12 + 2x = (6 + 2y)

Solving
12 + 2x = 6 + 2y

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 2x = 6 + -12 + 2y

Combine like terms: 12 + -12 = 0
0 + 2x = 6 + -12 + 2y
2x = 6 + -12 + 2y

Combine like terms: 6 + -12 = -6
2x = -6 + 2y

Divide each side by '2'.
x = -3 + y

Simplifying
x = -3 + y