y+5=(8y-2)

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


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

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

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

Remove parenthesis around (-2 + 8y)
5 + y = -2 + 8y

Solving
5 + y = -2 + 8y

Solving for variable 'y'.

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

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

Combine like terms: y + -8y = -7y
5 + -7y = -2 + 8y + -8y

Combine like terms: 8y + -8y = 0
5 + -7y = -2 + 0
5 + -7y = -2

Add '-5' to each side of the equation.
5 + -5 + -7y = -2 + -5

Combine like terms: 5 + -5 = 0
0 + -7y = -2 + -5
-7y = -2 + -5

Combine like terms: -2 + -5 = -7
-7y = -7

Divide each side by '-7'.
y = 1

Simplifying
y = 1

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