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

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


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

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

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

Reorder the terms:
12 + 2y = 4(-6 + y)
12 + 2y = (-6 * 4 + y * 4)
12 + 2y = (-24 + 4y)

Solving
12 + 2y = -24 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
12 + 2y + -4y = -24 + 4y + -4y

Combine like terms: 2y + -4y = -2y
12 + -2y = -24 + 4y + -4y

Combine like terms: 4y + -4y = 0
12 + -2y = -24 + 0
12 + -2y = -24

Add '-12' to each side of the equation.
12 + -12 + -2y = -24 + -12

Combine like terms: 12 + -12 = 0
0 + -2y = -24 + -12
-2y = -24 + -12

Combine like terms: -24 + -12 = -36
-2y = -36

Divide each side by '-2'.
y = 18

Simplifying
y = 18

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