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

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


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

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

Combine like terms: 8y + -3y = 5y
-8 + 5y = (2y + -6)

Reorder the terms:
-8 + 5y = (-6 + 2y)

Remove parenthesis around (-6 + 2y)
-8 + 5y = -6 + 2y

Solving
-8 + 5y = -6 + 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.
-8 + 5y + -2y = -6 + 2y + -2y

Combine like terms: 5y + -2y = 3y
-8 + 3y = -6 + 2y + -2y

Combine like terms: 2y + -2y = 0
-8 + 3y = -6 + 0
-8 + 3y = -6

Add '8' to each side of the equation.
-8 + 8 + 3y = -6 + 8

Combine like terms: -8 + 8 = 0
0 + 3y = -6 + 8
3y = -6 + 8

Combine like terms: -6 + 8 = 2
3y = 2

Divide each side by '3'.
y = 0.6666666667

Simplifying
y = 0.6666666667

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