-3(-6y+6)-8y=4(y-6)-2

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Solution for -3(-6y+6)-8y=4(y-6)-2 equation:


Simplifying
-3(-6y + 6) + -8y = 4(y + -6) + -2

Reorder the terms:
-3(6 + -6y) + -8y = 4(y + -6) + -2
(6 * -3 + -6y * -3) + -8y = 4(y + -6) + -2
(-18 + 18y) + -8y = 4(y + -6) + -2

Combine like terms: 18y + -8y = 10y
-18 + 10y = 4(y + -6) + -2

Reorder the terms:
-18 + 10y = 4(-6 + y) + -2
-18 + 10y = (-6 * 4 + y * 4) + -2
-18 + 10y = (-24 + 4y) + -2

Reorder the terms:
-18 + 10y = -24 + -2 + 4y

Combine like terms: -24 + -2 = -26
-18 + 10y = -26 + 4y

Solving
-18 + 10y = -26 + 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.
-18 + 10y + -4y = -26 + 4y + -4y

Combine like terms: 10y + -4y = 6y
-18 + 6y = -26 + 4y + -4y

Combine like terms: 4y + -4y = 0
-18 + 6y = -26 + 0
-18 + 6y = -26

Add '18' to each side of the equation.
-18 + 18 + 6y = -26 + 18

Combine like terms: -18 + 18 = 0
0 + 6y = -26 + 18
6y = -26 + 18

Combine like terms: -26 + 18 = -8
6y = -8

Divide each side by '6'.
y = -1.333333333

Simplifying
y = -1.333333333

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