6(y-3)-6=-2(-9y+8)-2y

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Solution for 6(y-3)-6=-2(-9y+8)-2y equation:


Simplifying
6(y + -3) + -6 = -2(-9y + 8) + -2y

Reorder the terms:
6(-3 + y) + -6 = -2(-9y + 8) + -2y
(-3 * 6 + y * 6) + -6 = -2(-9y + 8) + -2y
(-18 + 6y) + -6 = -2(-9y + 8) + -2y

Reorder the terms:
-18 + -6 + 6y = -2(-9y + 8) + -2y

Combine like terms: -18 + -6 = -24
-24 + 6y = -2(-9y + 8) + -2y

Reorder the terms:
-24 + 6y = -2(8 + -9y) + -2y
-24 + 6y = (8 * -2 + -9y * -2) + -2y
-24 + 6y = (-16 + 18y) + -2y

Combine like terms: 18y + -2y = 16y
-24 + 6y = -16 + 16y

Solving
-24 + 6y = -16 + 16y

Solving for variable 'y'.

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

Add '-16y' to each side of the equation.
-24 + 6y + -16y = -16 + 16y + -16y

Combine like terms: 6y + -16y = -10y
-24 + -10y = -16 + 16y + -16y

Combine like terms: 16y + -16y = 0
-24 + -10y = -16 + 0
-24 + -10y = -16

Add '24' to each side of the equation.
-24 + 24 + -10y = -16 + 24

Combine like terms: -24 + 24 = 0
0 + -10y = -16 + 24
-10y = -16 + 24

Combine like terms: -16 + 24 = 8
-10y = 8

Divide each side by '-10'.
y = -0.8

Simplifying
y = -0.8

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