5(y+4)=-2(3y-8)+y

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Solution for 5(y+4)=-2(3y-8)+y equation: 


Simplifying
5(y + 4) = -2(3y + -8) + y

Reorder the terms:
5(4 + y) = -2(3y + -8) + y
(4 * 5 + y * 5) = -2(3y + -8) + y
(20 + 5y) = -2(3y + -8) + y

Reorder the terms:
20 + 5y = -2(-8 + 3y) + y
20 + 5y = (-8 * -2 + 3y * -2) + y
20 + 5y = (16 + -6y) + y

Combine like terms: -6y + y = -5y
20 + 5y = 16 + -5y

Solving
20 + 5y = 16 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
20 + 5y + 5y = 16 + -5y + 5y

Combine like terms: 5y + 5y = 10y
20 + 10y = 16 + -5y + 5y

Combine like terms: -5y + 5y = 0
20 + 10y = 16 + 0
20 + 10y = 16

Add '-20' to each side of the equation.
20 + -20 + 10y = 16 + -20

Combine like terms: 20 + -20 = 0
0 + 10y = 16 + -20
10y = 16 + -20

Combine like terms: 16 + -20 = -4
10y = -4

Divide each side by '10'.
y = -0.4

Simplifying
y = -0.4

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