-2(-9y+8)-4y=2(y-7)-6

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Solution for -2(-9y+8)-4y=2(y-7)-6 equation:


Simplifying
-2(-9y + 8) + -4y = 2(y + -7) + -6

Reorder the terms:
-2(8 + -9y) + -4y = 2(y + -7) + -6
(8 * -2 + -9y * -2) + -4y = 2(y + -7) + -6
(-16 + 18y) + -4y = 2(y + -7) + -6

Combine like terms: 18y + -4y = 14y
-16 + 14y = 2(y + -7) + -6

Reorder the terms:
-16 + 14y = 2(-7 + y) + -6
-16 + 14y = (-7 * 2 + y * 2) + -6
-16 + 14y = (-14 + 2y) + -6

Reorder the terms:
-16 + 14y = -14 + -6 + 2y

Combine like terms: -14 + -6 = -20
-16 + 14y = -20 + 2y

Solving
-16 + 14y = -20 + 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.
-16 + 14y + -2y = -20 + 2y + -2y

Combine like terms: 14y + -2y = 12y
-16 + 12y = -20 + 2y + -2y

Combine like terms: 2y + -2y = 0
-16 + 12y = -20 + 0
-16 + 12y = -20

Add '16' to each side of the equation.
-16 + 16 + 12y = -20 + 16

Combine like terms: -16 + 16 = 0
0 + 12y = -20 + 16
12y = -20 + 16

Combine like terms: -20 + 16 = -4
12y = -4

Divide each side by '12'.
y = -0.3333333333

Simplifying
y = -0.3333333333

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