(x+3)2=4(y-3)

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

Simplifying
(x + 3) * 2 = 4(y + -3)

Reorder the terms:
(3 + x) * 2 = 4(y + -3)

Reorder the terms for easier multiplication:
2(3 + x) = 4(y + -3)
(3 * 2 + x * 2) = 4(y + -3)
(6 + 2x) = 4(y + -3)

Reorder the terms:
6 + 2x = 4(-3 + y)
6 + 2x = (-3 * 4 + y * 4)
6 + 2x = (-12 + 4y)

Solving
6 + 2x = -12 + 4y

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 2x = -12 + -6 + 4y

Combine like terms: 6 + -6 = 0
0 + 2x = -12 + -6 + 4y
2x = -12 + -6 + 4y

Combine like terms: -12 + -6 = -18
2x = -18 + 4y

Divide each side by '2'.
x = -9 + 2y

Simplifying
x = -9 + 2y