y+8=5y-2

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Solution for y+8=5y-2 equation:


Simplifying
y + 8 = 5y + -2

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

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

Solving
8 + y = -2 + 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 + y + -5y = -2 + 5y + -5y

Combine like terms: y + -5y = -4y
8 + -4y = -2 + 5y + -5y

Combine like terms: 5y + -5y = 0
8 + -4y = -2 + 0
8 + -4y = -2

Add '-8' to each side of the equation.
8 + -8 + -4y = -2 + -8

Combine like terms: 8 + -8 = 0
0 + -4y = -2 + -8
-4y = -2 + -8

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

Divide each side by '-4'.
y = 2.5

Simplifying
y = 2.5

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