(8y+5)+(3y-1)+(4y+13)+(5y+3)=360

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Solution for (8y+5)+(3y-1)+(4y+13)+(5y+3)=360 equation:


Simplifying
(8y + 5) + (3y + -1) + (4y + 13) + (5y + 3) = 360

Reorder the terms:
(5 + 8y) + (3y + -1) + (4y + 13) + (5y + 3) = 360

Remove parenthesis around (5 + 8y)
5 + 8y + (3y + -1) + (4y + 13) + (5y + 3) = 360

Reorder the terms:
5 + 8y + (-1 + 3y) + (4y + 13) + (5y + 3) = 360

Remove parenthesis around (-1 + 3y)
5 + 8y + -1 + 3y + (4y + 13) + (5y + 3) = 360

Reorder the terms:
5 + 8y + -1 + 3y + (13 + 4y) + (5y + 3) = 360

Remove parenthesis around (13 + 4y)
5 + 8y + -1 + 3y + 13 + 4y + (5y + 3) = 360

Reorder the terms:
5 + 8y + -1 + 3y + 13 + 4y + (3 + 5y) = 360

Remove parenthesis around (3 + 5y)
5 + 8y + -1 + 3y + 13 + 4y + 3 + 5y = 360

Reorder the terms:
5 + -1 + 13 + 3 + 8y + 3y + 4y + 5y = 360

Combine like terms: 5 + -1 = 4
4 + 13 + 3 + 8y + 3y + 4y + 5y = 360

Combine like terms: 4 + 13 = 17
17 + 3 + 8y + 3y + 4y + 5y = 360

Combine like terms: 17 + 3 = 20
20 + 8y + 3y + 4y + 5y = 360

Combine like terms: 8y + 3y = 11y
20 + 11y + 4y + 5y = 360

Combine like terms: 11y + 4y = 15y
20 + 15y + 5y = 360

Combine like terms: 15y + 5y = 20y
20 + 20y = 360

Solving
20 + 20y = 360

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 + 20y = 360 + -20

Combine like terms: 20 + -20 = 0
0 + 20y = 360 + -20
20y = 360 + -20

Combine like terms: 360 + -20 = 340
20y = 340

Divide each side by '20'.
y = 17

Simplifying
y = 17

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