3(2-3y)=-(2y-2)

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Solution for 3(2-3y)=-(2y-2) equation:


Simplifying
3(2 + -3y) = -1(2y + -2)
(2 * 3 + -3y * 3) = -1(2y + -2)
(6 + -9y) = -1(2y + -2)

Reorder the terms:
6 + -9y = -1(-2 + 2y)
6 + -9y = (-2 * -1 + 2y * -1)
6 + -9y = (2 + -2y)

Solving
6 + -9y = 2 + -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.
6 + -9y + 2y = 2 + -2y + 2y

Combine like terms: -9y + 2y = -7y
6 + -7y = 2 + -2y + 2y

Combine like terms: -2y + 2y = 0
6 + -7y = 2 + 0
6 + -7y = 2

Add '-6' to each side of the equation.
6 + -6 + -7y = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -7y = 2 + -6
-7y = 2 + -6

Combine like terms: 2 + -6 = -4
-7y = -4

Divide each side by '-7'.
y = 0.5714285714

Simplifying
y = 0.5714285714

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