(x+6)2+(y-1)2=4

Solution for (x+6)2+(y-1)2=4 equation:

Simplifying
(x + 6) * 2 + (y + -1) * 2 = 4

Reorder the terms:
(6 + x) * 2 + (y + -1) * 2 = 4

Reorder the terms for easier multiplication:
2(6 + x) + (y + -1) * 2 = 4
(6 * 2 + x * 2) + (y + -1) * 2 = 4
(12 + 2x) + (y + -1) * 2 = 4

Reorder the terms:
12 + 2x + (-1 + y) * 2 = 4

Reorder the terms for easier multiplication:
12 + 2x + 2(-1 + y) = 4
12 + 2x + (-1 * 2 + y * 2) = 4
12 + 2x + (-2 + 2y) = 4

Reorder the terms:
12 + -2 + 2x + 2y = 4

Combine like terms: 12 + -2 = 10
10 + 2x + 2y = 4

Solving
10 + 2x + 2y = 4

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + 2x + -10 + 2y = 4 + -10

Reorder the terms:
10 + -10 + 2x + 2y = 4 + -10

Combine like terms: 10 + -10 = 0
0 + 2x + 2y = 4 + -10
2x + 2y = 4 + -10

Combine like terms: 4 + -10 = -6
2x + 2y = -6

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

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

Divide each side by '2'.
x = -3 + -1y

Simplifying
x = -3 + -1y