(5y+11)+51+(30y+13)=360

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Solution for (5y+11)+51+(30y+13)=360 equation:


Simplifying
(5y + 11) + 51 + (30y + 13) = 360

Reorder the terms:
(11 + 5y) + 51 + (30y + 13) = 360

Remove parenthesis around (11 + 5y)
11 + 5y + 51 + (30y + 13) = 360

Reorder the terms:
11 + 5y + 51 + (13 + 30y) = 360

Remove parenthesis around (13 + 30y)
11 + 5y + 51 + 13 + 30y = 360

Reorder the terms:
11 + 51 + 13 + 5y + 30y = 360

Combine like terms: 11 + 51 = 62
62 + 13 + 5y + 30y = 360

Combine like terms: 62 + 13 = 75
75 + 5y + 30y = 360

Combine like terms: 5y + 30y = 35y
75 + 35y = 360

Solving
75 + 35y = 360

Solving for variable 'y'.

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

Add '-75' to each side of the equation.
75 + -75 + 35y = 360 + -75

Combine like terms: 75 + -75 = 0
0 + 35y = 360 + -75
35y = 360 + -75

Combine like terms: 360 + -75 = 285
35y = 285

Divide each side by '35'.
y = 8.142857143

Simplifying
y = 8.142857143

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