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Simplifying 2 + -1(3 + -2y) = 3(5 + -6y) + -2(1 + 4y) 2 + (3 * -1 + -2y * -1) = 3(5 + -6y) + -2(1 + 4y) 2 + (-3 + 2y) = 3(5 + -6y) + -2(1 + 4y) Combine like terms: 2 + -3 = -1 -1 + 2y = 3(5 + -6y) + -2(1 + 4y) -1 + 2y = (5 * 3 + -6y * 3) + -2(1 + 4y) -1 + 2y = (15 + -18y) + -2(1 + 4y) -1 + 2y = 15 + -18y + (1 * -2 + 4y * -2) -1 + 2y = 15 + -18y + (-2 + -8y) Reorder the terms: -1 + 2y = 15 + -2 + -18y + -8y Combine like terms: 15 + -2 = 13 -1 + 2y = 13 + -18y + -8y Combine like terms: -18y + -8y = -26y -1 + 2y = 13 + -26y Solving -1 + 2y = 13 + -26y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '26y' to each side of the equation. -1 + 2y + 26y = 13 + -26y + 26y Combine like terms: 2y + 26y = 28y -1 + 28y = 13 + -26y + 26y Combine like terms: -26y + 26y = 0 -1 + 28y = 13 + 0 -1 + 28y = 13 Add '1' to each side of the equation. -1 + 1 + 28y = 13 + 1 Combine like terms: -1 + 1 = 0 0 + 28y = 13 + 1 28y = 13 + 1 Combine like terms: 13 + 1 = 14 28y = 14 Divide each side by '28'. y = 0.5 Simplifying y = 0.5
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