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

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


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

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

Reorder the terms:
16 + 2y = -2(-6 + 5y) + 6y
16 + 2y = (-6 * -2 + 5y * -2) + 6y
16 + 2y = (12 + -10y) + 6y

Combine like terms: -10y + 6y = -4y
16 + 2y = 12 + -4y

Solving
16 + 2y = 12 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
16 + 2y + 4y = 12 + -4y + 4y

Combine like terms: 2y + 4y = 6y
16 + 6y = 12 + -4y + 4y

Combine like terms: -4y + 4y = 0
16 + 6y = 12 + 0
16 + 6y = 12

Add '-16' to each side of the equation.
16 + -16 + 6y = 12 + -16

Combine like terms: 16 + -16 = 0
0 + 6y = 12 + -16
6y = 12 + -16

Combine like terms: 12 + -16 = -4
6y = -4

Divide each side by '6'.
y = -0.6666666667

Simplifying
y = -0.6666666667

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