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Simplifying 3(2y + 3) + 6(3y + -1) = 1 + -7y Reorder the terms: 3(3 + 2y) + 6(3y + -1) = 1 + -7y (3 * 3 + 2y * 3) + 6(3y + -1) = 1 + -7y (9 + 6y) + 6(3y + -1) = 1 + -7y Reorder the terms: 9 + 6y + 6(-1 + 3y) = 1 + -7y 9 + 6y + (-1 * 6 + 3y * 6) = 1 + -7y 9 + 6y + (-6 + 18y) = 1 + -7y Reorder the terms: 9 + -6 + 6y + 18y = 1 + -7y Combine like terms: 9 + -6 = 3 3 + 6y + 18y = 1 + -7y Combine like terms: 6y + 18y = 24y 3 + 24y = 1 + -7y Solving 3 + 24y = 1 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 3 + 24y + 7y = 1 + -7y + 7y Combine like terms: 24y + 7y = 31y 3 + 31y = 1 + -7y + 7y Combine like terms: -7y + 7y = 0 3 + 31y = 1 + 0 3 + 31y = 1 Add '-3' to each side of the equation. 3 + -3 + 31y = 1 + -3 Combine like terms: 3 + -3 = 0 0 + 31y = 1 + -3 31y = 1 + -3 Combine like terms: 1 + -3 = -2 31y = -2 Divide each side by '31'. y = -0.06451612903 Simplifying y = -0.06451612903
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