-6y+1(-2y+2)=6+3(-8-y)

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Solution for -6y+1(-2y+2)=6+3(-8-y) equation: 


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

Reorder the terms:
-6y + 1(2 + -2y) = 6 + 3(-8 + -1y)
-6y + (2 * 1 + -2y * 1) = 6 + 3(-8 + -1y)
-6y + (2 + -2y) = 6 + 3(-8 + -1y)

Reorder the terms:
2 + -6y + -2y = 6 + 3(-8 + -1y)

Combine like terms: -6y + -2y = -8y
2 + -8y = 6 + 3(-8 + -1y)
2 + -8y = 6 + (-8 * 3 + -1y * 3)
2 + -8y = 6 + (-24 + -3y)

Combine like terms: 6 + -24 = -18
2 + -8y = -18 + -3y

Solving
2 + -8y = -18 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
2 + -8y + 3y = -18 + -3y + 3y

Combine like terms: -8y + 3y = -5y
2 + -5y = -18 + -3y + 3y

Combine like terms: -3y + 3y = 0
2 + -5y = -18 + 0
2 + -5y = -18

Add '-2' to each side of the equation.
2 + -2 + -5y = -18 + -2

Combine like terms: 2 + -2 = 0
0 + -5y = -18 + -2
-5y = -18 + -2

Combine like terms: -18 + -2 = -20
-5y = -20

Divide each side by '-5'.
y = 4

Simplifying
y = 4

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