8+2(3y-3)=-2(4y-4)+5y

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Solution for 8+2(3y-3)=-2(4y-4)+5y equation: 


Simplifying
8 + 2(3y + -3) = -2(4y + -4) + 5y

Reorder the terms:
8 + 2(-3 + 3y) = -2(4y + -4) + 5y
8 + (-3 * 2 + 3y * 2) = -2(4y + -4) + 5y
8 + (-6 + 6y) = -2(4y + -4) + 5y

Combine like terms: 8 + -6 = 2
2 + 6y = -2(4y + -4) + 5y

Reorder the terms:
2 + 6y = -2(-4 + 4y) + 5y
2 + 6y = (-4 * -2 + 4y * -2) + 5y
2 + 6y = (8 + -8y) + 5y

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

Solving
2 + 6y = 8 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
2 + 6y + 3y = 8 + -3y + 3y

Combine like terms: 6y + 3y = 9y
2 + 9y = 8 + -3y + 3y

Combine like terms: -3y + 3y = 0
2 + 9y = 8 + 0
2 + 9y = 8

Add '-2' to each side of the equation.
2 + -2 + 9y = 8 + -2

Combine like terms: 2 + -2 = 0
0 + 9y = 8 + -2
9y = 8 + -2

Combine like terms: 8 + -2 = 6
9y = 6

Divide each side by '9'.
y = 0.6666666667

Simplifying
y = 0.6666666667

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