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

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


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

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

Combine like terms: 6 + -10 = -4
-4 + 10y = -6(2y + -1) + 8y

Reorder the terms:
-4 + 10y = -6(-1 + 2y) + 8y
-4 + 10y = (-1 * -6 + 2y * -6) + 8y
-4 + 10y = (6 + -12y) + 8y

Combine like terms: -12y + 8y = -4y
-4 + 10y = 6 + -4y

Solving
-4 + 10y = 6 + -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 = 6 + -4y + 4y

Combine like terms: 10y + 4y = 14y
-4 + 14y = 6 + -4y + 4y

Combine like terms: -4y + 4y = 0
-4 + 14y = 6 + 0
-4 + 14y = 6

Add '4' to each side of the equation.
-4 + 4 + 14y = 6 + 4

Combine like terms: -4 + 4 = 0
0 + 14y = 6 + 4
14y = 6 + 4

Combine like terms: 6 + 4 = 10
14y = 10

Divide each side by '14'.
y = 0.7142857143

Simplifying
y = 0.7142857143

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