(2y+31)+(2y-11)=180

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Solution for (2y+31)+(2y-11)=180 equation: 


Simplifying
(2y + 31) + (2y + -11) = 180

Reorder the terms:
(31 + 2y) + (2y + -11) = 180

Remove parenthesis around (31 + 2y)
31 + 2y + (2y + -11) = 180

Reorder the terms:
31 + 2y + (-11 + 2y) = 180

Remove parenthesis around (-11 + 2y)
31 + 2y + -11 + 2y = 180

Reorder the terms:
31 + -11 + 2y + 2y = 180

Combine like terms: 31 + -11 = 20
20 + 2y + 2y = 180

Combine like terms: 2y + 2y = 4y
20 + 4y = 180

Solving
20 + 4y = 180

Solving for variable 'y'.

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

Add '-20' to each side of the equation.
20 + -20 + 4y = 180 + -20

Combine like terms: 20 + -20 = 0
0 + 4y = 180 + -20
4y = 180 + -20

Combine like terms: 180 + -20 = 160
4y = 160

Divide each side by '4'.
y = 40

Simplifying
y = 40

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