(3y-5)=(y+11)

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Solution for (3y-5)=(y+11) equation:


Simplifying
(3y + -5) = (y + 11)

Reorder the terms:
(-5 + 3y) = (y + 11)

Remove parenthesis around (-5 + 3y)
-5 + 3y = (y + 11)

Reorder the terms:
-5 + 3y = (11 + y)

Remove parenthesis around (11 + y)
-5 + 3y = 11 + y

Solving
-5 + 3y = 11 + 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.
-5 + 3y + -1y = 11 + y + -1y

Combine like terms: 3y + -1y = 2y
-5 + 2y = 11 + y + -1y

Combine like terms: y + -1y = 0
-5 + 2y = 11 + 0
-5 + 2y = 11

Add '5' to each side of the equation.
-5 + 5 + 2y = 11 + 5

Combine like terms: -5 + 5 = 0
0 + 2y = 11 + 5
2y = 11 + 5

Combine like terms: 11 + 5 = 16
2y = 16

Divide each side by '2'.
y = 8

Simplifying
y = 8

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