8(5y+2)+y=9y-4+y

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Solution for 8(5y+2)+y=9y-4+y equation:


Simplifying
8(5y + 2) + y = 9y + -4 + y

Reorder the terms:
8(2 + 5y) + y = 9y + -4 + y
(2 * 8 + 5y * 8) + y = 9y + -4 + y
(16 + 40y) + y = 9y + -4 + y

Combine like terms: 40y + y = 41y
16 + 41y = 9y + -4 + y

Reorder the terms:
16 + 41y = -4 + 9y + y

Combine like terms: 9y + y = 10y
16 + 41y = -4 + 10y

Solving
16 + 41y = -4 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
16 + 41y + -10y = -4 + 10y + -10y

Combine like terms: 41y + -10y = 31y
16 + 31y = -4 + 10y + -10y

Combine like terms: 10y + -10y = 0
16 + 31y = -4 + 0
16 + 31y = -4

Add '-16' to each side of the equation.
16 + -16 + 31y = -4 + -16

Combine like terms: 16 + -16 = 0
0 + 31y = -4 + -16
31y = -4 + -16

Combine like terms: -4 + -16 = -20
31y = -20

Divide each side by '31'.
y = -0.6451612903

Simplifying
y = -0.6451612903

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