(2y-5)+(2y-5)+(y+5)+(y+5)=360

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Solution for (2y-5)+(2y-5)+(y+5)+(y+5)=360 equation:


Simplifying
(2y + -5) + (2y + -5) + (y + 5) + (y + 5) = 360

Reorder the terms:
(-5 + 2y) + (2y + -5) + (y + 5) + (y + 5) = 360

Remove parenthesis around (-5 + 2y)
-5 + 2y + (2y + -5) + (y + 5) + (y + 5) = 360

Reorder the terms:
-5 + 2y + (-5 + 2y) + (y + 5) + (y + 5) = 360

Remove parenthesis around (-5 + 2y)
-5 + 2y + -5 + 2y + (y + 5) + (y + 5) = 360

Reorder the terms:
-5 + 2y + -5 + 2y + (5 + y) + (y + 5) = 360

Remove parenthesis around (5 + y)
-5 + 2y + -5 + 2y + 5 + y + (y + 5) = 360

Reorder the terms:
-5 + 2y + -5 + 2y + 5 + y + (5 + y) = 360

Remove parenthesis around (5 + y)
-5 + 2y + -5 + 2y + 5 + y + 5 + y = 360

Reorder the terms:
-5 + -5 + 5 + 5 + 2y + 2y + y + y = 360

Combine like terms: -5 + -5 = -10
-10 + 5 + 5 + 2y + 2y + y + y = 360

Combine like terms: -10 + 5 = -5
-5 + 5 + 2y + 2y + y + y = 360

Combine like terms: -5 + 5 = 0
0 + 2y + 2y + y + y = 360
2y + 2y + y + y = 360

Combine like terms: 2y + 2y = 4y
4y + y + y = 360

Combine like terms: 4y + y = 5y
5y + y = 360

Combine like terms: 5y + y = 6y
6y = 360

Solving
6y = 360

Solving for variable 'y'.

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

Divide each side by '6'.
y = 60

Simplifying
y = 60

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