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

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


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

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

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

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

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

Solving
3 + y = -1 + 3y

Solving for variable 'y'.

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

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

Combine like terms: y + -3y = -2y
3 + -2y = -1 + 3y + -3y

Combine like terms: 3y + -3y = 0
3 + -2y = -1 + 0
3 + -2y = -1

Add '-3' to each side of the equation.
3 + -3 + -2y = -1 + -3

Combine like terms: 3 + -3 = 0
0 + -2y = -1 + -3
-2y = -1 + -3

Combine like terms: -1 + -3 = -4
-2y = -4

Divide each side by '-2'.
y = 2

Simplifying
y = 2

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