6(y-3)=2(y-1)-8y

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Solution for 6(y-3)=2(y-1)-8y equation:


Simplifying
6(y + -3) = 2(y + -1) + -8y

Reorder the terms:
6(-3 + y) = 2(y + -1) + -8y
(-3 * 6 + y * 6) = 2(y + -1) + -8y
(-18 + 6y) = 2(y + -1) + -8y

Reorder the terms:
-18 + 6y = 2(-1 + y) + -8y
-18 + 6y = (-1 * 2 + y * 2) + -8y
-18 + 6y = (-2 + 2y) + -8y

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

Solving
-18 + 6y = -2 + -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.
-18 + 6y + 6y = -2 + -6y + 6y

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

Combine like terms: -6y + 6y = 0
-18 + 12y = -2 + 0
-18 + 12y = -2

Add '18' to each side of the equation.
-18 + 18 + 12y = -2 + 18

Combine like terms: -18 + 18 = 0
0 + 12y = -2 + 18
12y = -2 + 18

Combine like terms: -2 + 18 = 16
12y = 16

Divide each side by '12'.
y = 1.333333333

Simplifying
y = 1.333333333

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