6(3+5y)+(y-8)=13

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Solution for 6(3+5y)+(y-8)=13 equation: 


Simplifying
6(3 + 5y) + (y + -8) = 13
(3 * 6 + 5y * 6) + (y + -8) = 13
(18 + 30y) + (y + -8) = 13

Reorder the terms:
18 + 30y + (-8 + y) = 13

Remove parenthesis around (-8 + y)
18 + 30y + -8 + y = 13

Reorder the terms:
18 + -8 + 30y + y = 13

Combine like terms: 18 + -8 = 10
10 + 30y + y = 13

Combine like terms: 30y + y = 31y
10 + 31y = 13

Solving
10 + 31y = 13

Solving for variable 'y'.

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

Add '-10' to each side of the equation.
10 + -10 + 31y = 13 + -10

Combine like terms: 10 + -10 = 0
0 + 31y = 13 + -10
31y = 13 + -10

Combine like terms: 13 + -10 = 3
31y = 3

Divide each side by '31'.
y = 0.09677419355

Simplifying
y = 0.09677419355

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