8n+2+2n+8y=4n-(6y-6)+6n-2

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Solution for 8n+2+2n+8y=4n-(6y-6)+6n-2 equation:


Simplifying
8n + 2 + 2n + 8y = 4n + -1(6y + -6) + 6n + -2

Reorder the terms:
2 + 8n + 2n + 8y = 4n + -1(6y + -6) + 6n + -2

Combine like terms: 8n + 2n = 10n
2 + 10n + 8y = 4n + -1(6y + -6) + 6n + -2

Reorder the terms:
2 + 10n + 8y = 4n + -1(-6 + 6y) + 6n + -2
2 + 10n + 8y = 4n + (-6 * -1 + 6y * -1) + 6n + -2
2 + 10n + 8y = 4n + (6 + -6y) + 6n + -2

Reorder the terms:
2 + 10n + 8y = 6 + -2 + 4n + 6n + -6y

Combine like terms: 6 + -2 = 4
2 + 10n + 8y = 4 + 4n + 6n + -6y

Combine like terms: 4n + 6n = 10n
2 + 10n + 8y = 4 + 10n + -6y

Add '-10n' to each side of the equation.
2 + 10n + -10n + 8y = 4 + 10n + -10n + -6y

Combine like terms: 10n + -10n = 0
2 + 0 + 8y = 4 + 10n + -10n + -6y
2 + 8y = 4 + 10n + -10n + -6y

Combine like terms: 10n + -10n = 0
2 + 8y = 4 + 0 + -6y
2 + 8y = 4 + -6y

Solving
2 + 8y = 4 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
2 + 8y + 6y = 4 + -6y + 6y

Combine like terms: 8y + 6y = 14y
2 + 14y = 4 + -6y + 6y

Combine like terms: -6y + 6y = 0
2 + 14y = 4 + 0
2 + 14y = 4

Add '-2' to each side of the equation.
2 + -2 + 14y = 4 + -2

Combine like terms: 2 + -2 = 0
0 + 14y = 4 + -2
14y = 4 + -2

Combine like terms: 4 + -2 = 2
14y = 2

Divide each side by '14'.
y = 0.1428571429

Simplifying
y = 0.1428571429

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