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Simplifying -3(-6y + 2) + -6y = 3(y + -2) + -6 Reorder the terms: -3(2 + -6y) + -6y = 3(y + -2) + -6 (2 * -3 + -6y * -3) + -6y = 3(y + -2) + -6 (-6 + 18y) + -6y = 3(y + -2) + -6 Combine like terms: 18y + -6y = 12y -6 + 12y = 3(y + -2) + -6 Reorder the terms: -6 + 12y = 3(-2 + y) + -6 -6 + 12y = (-2 * 3 + y * 3) + -6 -6 + 12y = (-6 + 3y) + -6 Reorder the terms: -6 + 12y = -6 + -6 + 3y Combine like terms: -6 + -6 = -12 -6 + 12y = -12 + 3y Solving -6 + 12y = -12 + 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. -6 + 12y + -3y = -12 + 3y + -3y Combine like terms: 12y + -3y = 9y -6 + 9y = -12 + 3y + -3y Combine like terms: 3y + -3y = 0 -6 + 9y = -12 + 0 -6 + 9y = -12 Add '6' to each side of the equation. -6 + 6 + 9y = -12 + 6 Combine like terms: -6 + 6 = 0 0 + 9y = -12 + 6 9y = -12 + 6 Combine like terms: -12 + 6 = -6 9y = -6 Divide each side by '9'. y = -0.6666666667 Simplifying y = -0.6666666667
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