(5y-2)2=28

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Solution for (5y-2)2=28 equation:


Simplifying
(5y + -2) * 2 = 28

Reorder the terms:
(-2 + 5y) * 2 = 28

Reorder the terms for easier multiplication:
2(-2 + 5y) = 28
(-2 * 2 + 5y * 2) = 28
(-4 + 10y) = 28

Solving
-4 + 10y = 28

Solving for variable 'y'.

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

Add '4' to each side of the equation.
-4 + 4 + 10y = 28 + 4

Combine like terms: -4 + 4 = 0
0 + 10y = 28 + 4
10y = 28 + 4

Combine like terms: 28 + 4 = 32
10y = 32

Divide each side by '10'.
y = 3.2

Simplifying
y = 3.2

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