6y=8(3-y)+5(y-2)+2+y

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Solution for 6y=8(3-y)+5(y-2)+2+y equation: 


Simplifying
6y = 8(3 + -1y) + 5(y + -2) + 2 + y
6y = (3 * 8 + -1y * 8) + 5(y + -2) + 2 + y
6y = (24 + -8y) + 5(y + -2) + 2 + y

Reorder the terms:
6y = 24 + -8y + 5(-2 + y) + 2 + y
6y = 24 + -8y + (-2 * 5 + y * 5) + 2 + y
6y = 24 + -8y + (-10 + 5y) + 2 + y

Reorder the terms:
6y = 24 + -10 + 2 + -8y + 5y + y

Combine like terms: 24 + -10 = 14
6y = 14 + 2 + -8y + 5y + y

Combine like terms: 14 + 2 = 16
6y = 16 + -8y + 5y + y

Combine like terms: -8y + 5y = -3y
6y = 16 + -3y + y

Combine like terms: -3y + y = -2y
6y = 16 + -2y

Solving
6y = 16 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
6y + 2y = 16 + -2y + 2y

Combine like terms: 6y + 2y = 8y
8y = 16 + -2y + 2y

Combine like terms: -2y + 2y = 0
8y = 16 + 0
8y = 16

Divide each side by '8'.
y = 2

Simplifying
y = 2

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