8-y=5(y-2)

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Solution for 8-y=5(y-2) equation:


Simplifying
8 + -1y = 5(y + -2)

Reorder the terms:
8 + -1y = 5(-2 + y)
8 + -1y = (-2 * 5 + y * 5)
8 + -1y = (-10 + 5y)

Solving
8 + -1y = -10 + 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.
8 + -1y + -5y = -10 + 5y + -5y

Combine like terms: -1y + -5y = -6y
8 + -6y = -10 + 5y + -5y

Combine like terms: 5y + -5y = 0
8 + -6y = -10 + 0
8 + -6y = -10

Add '-8' to each side of the equation.
8 + -8 + -6y = -10 + -8

Combine like terms: 8 + -8 = 0
0 + -6y = -10 + -8
-6y = -10 + -8

Combine like terms: -10 + -8 = -18
-6y = -18

Divide each side by '-6'.
y = 3

Simplifying
y = 3

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