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Simplifying -2y + -3(9y + -1) = 2 + 3(-5 + -1y) Reorder the terms: -2y + -3(-1 + 9y) = 2 + 3(-5 + -1y) -2y + (-1 * -3 + 9y * -3) = 2 + 3(-5 + -1y) -2y + (3 + -27y) = 2 + 3(-5 + -1y) Reorder the terms: 3 + -2y + -27y = 2 + 3(-5 + -1y) Combine like terms: -2y + -27y = -29y 3 + -29y = 2 + 3(-5 + -1y) 3 + -29y = 2 + (-5 * 3 + -1y * 3) 3 + -29y = 2 + (-15 + -3y) Combine like terms: 2 + -15 = -13 3 + -29y = -13 + -3y Solving 3 + -29y = -13 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 3 + -29y + 3y = -13 + -3y + 3y Combine like terms: -29y + 3y = -26y 3 + -26y = -13 + -3y + 3y Combine like terms: -3y + 3y = 0 3 + -26y = -13 + 0 3 + -26y = -13 Add '-3' to each side of the equation. 3 + -3 + -26y = -13 + -3 Combine like terms: 3 + -3 = 0 0 + -26y = -13 + -3 -26y = -13 + -3 Combine like terms: -13 + -3 = -16 -26y = -16 Divide each side by '-26'. y = 0.6153846154 Simplifying y = 0.6153846154
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