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

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


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

Reorder the terms:
-6(3 + -2y) + -4y = 2(y + -6) + -2
(3 * -6 + -2y * -6) + -4y = 2(y + -6) + -2
(-18 + 12y) + -4y = 2(y + -6) + -2

Combine like terms: 12y + -4y = 8y
-18 + 8y = 2(y + -6) + -2

Reorder the terms:
-18 + 8y = 2(-6 + y) + -2
-18 + 8y = (-6 * 2 + y * 2) + -2
-18 + 8y = (-12 + 2y) + -2

Reorder the terms:
-18 + 8y = -12 + -2 + 2y

Combine like terms: -12 + -2 = -14
-18 + 8y = -14 + 2y

Solving
-18 + 8y = -14 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-18 + 8y + -2y = -14 + 2y + -2y

Combine like terms: 8y + -2y = 6y
-18 + 6y = -14 + 2y + -2y

Combine like terms: 2y + -2y = 0
-18 + 6y = -14 + 0
-18 + 6y = -14

Add '18' to each side of the equation.
-18 + 18 + 6y = -14 + 18

Combine like terms: -18 + 18 = 0
0 + 6y = -14 + 18
6y = -14 + 18

Combine like terms: -14 + 18 = 4
6y = 4

Divide each side by '6'.
y = 0.6666666667

Simplifying
y = 0.6666666667

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