6(y+2)+2=10-3(8y+2)

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Solution for 6(y+2)+2=10-3(8y+2) equation: 


Simplifying
6(y + 2) + 2 = 10 + -3(8y + 2)

Reorder the terms:
6(2 + y) + 2 = 10 + -3(8y + 2)
(2 * 6 + y * 6) + 2 = 10 + -3(8y + 2)
(12 + 6y) + 2 = 10 + -3(8y + 2)

Reorder the terms:
12 + 2 + 6y = 10 + -3(8y + 2)

Combine like terms: 12 + 2 = 14
14 + 6y = 10 + -3(8y + 2)

Reorder the terms:
14 + 6y = 10 + -3(2 + 8y)
14 + 6y = 10 + (2 * -3 + 8y * -3)
14 + 6y = 10 + (-6 + -24y)

Combine like terms: 10 + -6 = 4
14 + 6y = 4 + -24y

Solving
14 + 6y = 4 + -24y

Solving for variable 'y'.

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

Add '24y' to each side of the equation.
14 + 6y + 24y = 4 + -24y + 24y

Combine like terms: 6y + 24y = 30y
14 + 30y = 4 + -24y + 24y

Combine like terms: -24y + 24y = 0
14 + 30y = 4 + 0
14 + 30y = 4

Add '-14' to each side of the equation.
14 + -14 + 30y = 4 + -14

Combine like terms: 14 + -14 = 0
0 + 30y = 4 + -14
30y = 4 + -14

Combine like terms: 4 + -14 = -10
30y = -10

Divide each side by '30'.
y = -0.3333333333

Simplifying
y = -0.3333333333

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