(Y-3)2=4y-12

Solution for (Y-3)2=4y-12 equation:

Simplifying
(Y + -3) * 2 = 4y + -12

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

Reorder the terms for easier multiplication:
2(-3 + Y) = 4y + -12
(-3 * 2 + Y * 2) = 4y + -12
(-6 + 2Y) = 4y + -12

Reorder the terms:
-6 + 2Y = -12 + 4y

Solving
-6 + 2Y = -12 + 4y

Solving for variable 'Y'.

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

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

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

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

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

Simplifying
Y = -3 + 2y