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Simplifying -2(3y + 1) = 3(1 + -6y) Reorder the terms: -2(1 + 3y) = 3(1 + -6y) (1 * -2 + 3y * -2) = 3(1 + -6y) (-2 + -6y) = 3(1 + -6y) -2 + -6y = (1 * 3 + -6y * 3) -2 + -6y = (3 + -18y) Solving -2 + -6y = 3 + -18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '18y' to each side of the equation. -2 + -6y + 18y = 3 + -18y + 18y Combine like terms: -6y + 18y = 12y -2 + 12y = 3 + -18y + 18y Combine like terms: -18y + 18y = 0 -2 + 12y = 3 + 0 -2 + 12y = 3 Add '2' to each side of the equation. -2 + 2 + 12y = 3 + 2 Combine like terms: -2 + 2 = 0 0 + 12y = 3 + 2 12y = 3 + 2 Combine like terms: 3 + 2 = 5 12y = 5 Divide each side by '12'. y = 0.4166666667 Simplifying y = 0.4166666667
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