-2(5y-1)+8y=6+2(6y-3)

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Solution for -2(5y-1)+8y=6+2(6y-3) equation:


Simplifying
-2(5y + -1) + 8y = 6 + 2(6y + -3)

Reorder the terms:
-2(-1 + 5y) + 8y = 6 + 2(6y + -3)
(-1 * -2 + 5y * -2) + 8y = 6 + 2(6y + -3)
(2 + -10y) + 8y = 6 + 2(6y + -3)

Combine like terms: -10y + 8y = -2y
2 + -2y = 6 + 2(6y + -3)

Reorder the terms:
2 + -2y = 6 + 2(-3 + 6y)
2 + -2y = 6 + (-3 * 2 + 6y * 2)
2 + -2y = 6 + (-6 + 12y)

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

Solving
2 + -2y = 12y

Solving for variable 'y'.

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

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

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

Combine like terms: 12y + -12y = 0
2 + -14y = 0

Add '-2' to each side of the equation.
2 + -2 + -14y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -14y = 0 + -2
-14y = 0 + -2

Combine like terms: 0 + -2 = -2
-14y = -2

Divide each side by '-14'.
y = 0.1428571429

Simplifying
y = 0.1428571429

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