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Simplifying -3y + 3(2y + 6) = 2 + -6(3 + -1y) Reorder the terms: -3y + 3(6 + 2y) = 2 + -6(3 + -1y) -3y + (6 * 3 + 2y * 3) = 2 + -6(3 + -1y) -3y + (18 + 6y) = 2 + -6(3 + -1y) Reorder the terms: 18 + -3y + 6y = 2 + -6(3 + -1y) Combine like terms: -3y + 6y = 3y 18 + 3y = 2 + -6(3 + -1y) 18 + 3y = 2 + (3 * -6 + -1y * -6) 18 + 3y = 2 + (-18 + 6y) Combine like terms: 2 + -18 = -16 18 + 3y = -16 + 6y Solving 18 + 3y = -16 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 18 + 3y + -6y = -16 + 6y + -6y Combine like terms: 3y + -6y = -3y 18 + -3y = -16 + 6y + -6y Combine like terms: 6y + -6y = 0 18 + -3y = -16 + 0 18 + -3y = -16 Add '-18' to each side of the equation. 18 + -18 + -3y = -16 + -18 Combine like terms: 18 + -18 = 0 0 + -3y = -16 + -18 -3y = -16 + -18 Combine like terms: -16 + -18 = -34 -3y = -34 Divide each side by '-3'. y = 11.33333333 Simplifying y = 11.33333333
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