(2y-31)=(y+11)

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Solution for (2y-31)=(y+11) equation:


Simplifying
(2y + -31) = (y + 11)

Reorder the terms:
(-31 + 2y) = (y + 11)

Remove parenthesis around (-31 + 2y)
-31 + 2y = (y + 11)

Reorder the terms:
-31 + 2y = (11 + y)

Remove parenthesis around (11 + y)
-31 + 2y = 11 + y

Solving
-31 + 2y = 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.
-31 + 2y + -1y = 11 + y + -1y

Combine like terms: 2y + -1y = 1y
-31 + 1y = 11 + y + -1y

Combine like terms: y + -1y = 0
-31 + 1y = 11 + 0
-31 + 1y = 11

Add '31' to each side of the equation.
-31 + 31 + 1y = 11 + 31

Combine like terms: -31 + 31 = 0
0 + 1y = 11 + 31
1y = 11 + 31

Combine like terms: 11 + 31 = 42
1y = 42

Divide each side by '1'.
y = 42

Simplifying
y = 42

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