-2(-9y+1)-6y=6(y-2)-4

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Solution for -2(-9y+1)-6y=6(y-2)-4 equation:


Simplifying
-2(-9y + 1) + -6y = 6(y + -2) + -4

Reorder the terms:
-2(1 + -9y) + -6y = 6(y + -2) + -4
(1 * -2 + -9y * -2) + -6y = 6(y + -2) + -4
(-2 + 18y) + -6y = 6(y + -2) + -4

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

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

Reorder the terms:
-2 + 12y = -12 + -4 + 6y

Combine like terms: -12 + -4 = -16
-2 + 12y = -16 + 6y

Solving
-2 + 12y = -16 + 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 + 12y + -6y = -16 + 6y + -6y

Combine like terms: 12y + -6y = 6y
-2 + 6y = -16 + 6y + -6y

Combine like terms: 6y + -6y = 0
-2 + 6y = -16 + 0
-2 + 6y = -16

Add '2' to each side of the equation.
-2 + 2 + 6y = -16 + 2

Combine like terms: -2 + 2 = 0
0 + 6y = -16 + 2
6y = -16 + 2

Combine like terms: -16 + 2 = -14
6y = -14

Divide each side by '6'.
y = -2.333333333

Simplifying
y = -2.333333333

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