(y-2)2+14=8y-3y

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Solution for (y-2)2+14=8y-3y equation: 


Simplifying
(y + -2) * 2 + 14 = 8y + -3y

Reorder the terms:
(-2 + y) * 2 + 14 = 8y + -3y

Reorder the terms for easier multiplication:
2(-2 + y) + 14 = 8y + -3y
(-2 * 2 + y * 2) + 14 = 8y + -3y
(-4 + 2y) + 14 = 8y + -3y

Reorder the terms:
-4 + 14 + 2y = 8y + -3y

Combine like terms: -4 + 14 = 10
10 + 2y = 8y + -3y

Combine like terms: 8y + -3y = 5y
10 + 2y = 5y

Solving
10 + 2y = 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
10 + 2y + -5y = 5y + -5y

Combine like terms: 2y + -5y = -3y
10 + -3y = 5y + -5y

Combine like terms: 5y + -5y = 0
10 + -3y = 0

Add '-10' to each side of the equation.
10 + -10 + -3y = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3y = 0 + -10
-3y = 0 + -10

Combine like terms: 0 + -10 = -10
-3y = -10

Divide each side by '-3'.
y = 3.333333333

Simplifying
y = 3.333333333

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