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

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


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

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

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

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

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

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

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

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

Solving
180 = 20 + 4y

Solving for variable 'y'.

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

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

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

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

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

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

Divide each side by '-4'.
y = 40

Simplifying
y = 40

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