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

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


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

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

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

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

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

Solving
-2 + 5y = 8 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-2 + 5y + -1y = 8 + y + -1y

Combine like terms: 5y + -1y = 4y
-2 + 4y = 8 + y + -1y

Combine like terms: y + -1y = 0
-2 + 4y = 8 + 0
-2 + 4y = 8

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

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

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

Divide each side by '4'.
y = 2.5

Simplifying
y = 2.5

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