(y-5)2=16

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Solution for (y-5)2=16 equation: 


Simplifying
(y + -5) * 2 = 16

Reorder the terms:
(-5 + y) * 2 = 16

Reorder the terms for easier multiplication:
2(-5 + y) = 16
(-5 * 2 + y * 2) = 16
(-10 + 2y) = 16

Solving
-10 + 2y = 16

Solving for variable 'y'.

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

Add '10' to each side of the equation.
-10 + 10 + 2y = 16 + 10

Combine like terms: -10 + 10 = 0
0 + 2y = 16 + 10
2y = 16 + 10

Combine like terms: 16 + 10 = 26
2y = 26

Divide each side by '2'.
y = 13

Simplifying
y = 13

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