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Simplifying -2y + -3(6y + 9) = 2 + -6(7 + -1y) Reorder the terms: -2y + -3(9 + 6y) = 2 + -6(7 + -1y) -2y + (9 * -3 + 6y * -3) = 2 + -6(7 + -1y) -2y + (-27 + -18y) = 2 + -6(7 + -1y) Reorder the terms: -27 + -2y + -18y = 2 + -6(7 + -1y) Combine like terms: -2y + -18y = -20y -27 + -20y = 2 + -6(7 + -1y) -27 + -20y = 2 + (7 * -6 + -1y * -6) -27 + -20y = 2 + (-42 + 6y) Combine like terms: 2 + -42 = -40 -27 + -20y = -40 + 6y Solving -27 + -20y = -40 + 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. -27 + -20y + -6y = -40 + 6y + -6y Combine like terms: -20y + -6y = -26y -27 + -26y = -40 + 6y + -6y Combine like terms: 6y + -6y = 0 -27 + -26y = -40 + 0 -27 + -26y = -40 Add '27' to each side of the equation. -27 + 27 + -26y = -40 + 27 Combine like terms: -27 + 27 = 0 0 + -26y = -40 + 27 -26y = -40 + 27 Combine like terms: -40 + 27 = -13 -26y = -13 Divide each side by '-26'. y = 0.5 Simplifying y = 0.5
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