125+117+(y+6)+y+(y-44)=180(n-2)

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Solution for 125+117+(y+6)+y+(y-44)=180(n-2) equation:


Simplifying
125 + 117 + (y + 6) + y + (y + -44) = 180(n + -2)

Reorder the terms:
125 + 117 + (6 + y) + y + (y + -44) = 180(n + -2)

Remove parenthesis around (6 + y)
125 + 117 + 6 + y + y + (y + -44) = 180(n + -2)

Reorder the terms:
125 + 117 + 6 + y + y + (-44 + y) = 180(n + -2)

Remove parenthesis around (-44 + y)
125 + 117 + 6 + y + y + -44 + y = 180(n + -2)

Reorder the terms:
125 + 117 + 6 + -44 + y + y + y = 180(n + -2)

Combine like terms: 125 + 117 = 242
242 + 6 + -44 + y + y + y = 180(n + -2)

Combine like terms: 242 + 6 = 248
248 + -44 + y + y + y = 180(n + -2)

Combine like terms: 248 + -44 = 204
204 + y + y + y = 180(n + -2)

Combine like terms: y + y = 2y
204 + 2y + y = 180(n + -2)

Combine like terms: 2y + y = 3y
204 + 3y = 180(n + -2)

Reorder the terms:
204 + 3y = 180(-2 + n)
204 + 3y = (-2 * 180 + n * 180)
204 + 3y = (-360 + 180n)

Solving
204 + 3y = -360 + 180n

Solving for variable 'y'.

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

Add '-204' to each side of the equation.
204 + -204 + 3y = -360 + -204 + 180n

Combine like terms: 204 + -204 = 0
0 + 3y = -360 + -204 + 180n
3y = -360 + -204 + 180n

Combine like terms: -360 + -204 = -564
3y = -564 + 180n

Divide each side by '3'.
y = -188 + 60n

Simplifying
y = -188 + 60n

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