y=(y-82)*5+2

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Solution for y=(y-82)*5+2 equation: 


Simplifying
y = (y + -82) * 5 + 2

Reorder the terms:
y = (-82 + y) * 5 + 2

Reorder the terms for easier multiplication:
y = 5(-82 + y) + 2
y = (-82 * 5 + y * 5) + 2
y = (-410 + 5y) + 2

Reorder the terms:
y = -410 + 2 + 5y

Combine like terms: -410 + 2 = -408
y = -408 + 5y

Solving
y = -408 + 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.
y + -5y = -408 + 5y + -5y

Combine like terms: y + -5y = -4y
-4y = -408 + 5y + -5y

Combine like terms: 5y + -5y = 0
-4y = -408 + 0
-4y = -408

Divide each side by '-4'.
y = 102

Simplifying
y = 102

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