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

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


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

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

Combine like terms: 6 + -2 = 4
4 + 10y = -2(5y + -1) + 6y

Reorder the terms:
4 + 10y = -2(-1 + 5y) + 6y
4 + 10y = (-1 * -2 + 5y * -2) + 6y
4 + 10y = (2 + -10y) + 6y

Combine like terms: -10y + 6y = -4y
4 + 10y = 2 + -4y

Solving
4 + 10y = 2 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
4 + 10y + 4y = 2 + -4y + 4y

Combine like terms: 10y + 4y = 14y
4 + 14y = 2 + -4y + 4y

Combine like terms: -4y + 4y = 0
4 + 14y = 2 + 0
4 + 14y = 2

Add '-4' to each side of the equation.
4 + -4 + 14y = 2 + -4

Combine like terms: 4 + -4 = 0
0 + 14y = 2 + -4
14y = 2 + -4

Combine like terms: 2 + -4 = -2
14y = -2

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

Simplifying
y = -0.1428571429

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