(3y+8)=(6y-1)

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Solution for (3y+8)=(6y-1) equation:


Simplifying
(3y + 8) = (6y + -1)

Reorder the terms:
(8 + 3y) = (6y + -1)

Remove parenthesis around (8 + 3y)
8 + 3y = (6y + -1)

Reorder the terms:
8 + 3y = (-1 + 6y)

Remove parenthesis around (-1 + 6y)
8 + 3y = -1 + 6y

Solving
8 + 3y = -1 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
8 + 3y + -6y = -1 + 6y + -6y

Combine like terms: 3y + -6y = -3y
8 + -3y = -1 + 6y + -6y

Combine like terms: 6y + -6y = 0
8 + -3y = -1 + 0
8 + -3y = -1

Add '-8' to each side of the equation.
8 + -8 + -3y = -1 + -8

Combine like terms: 8 + -8 = 0
0 + -3y = -1 + -8
-3y = -1 + -8

Combine like terms: -1 + -8 = -9
-3y = -9

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

Simplifying
y = 3

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