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Simplifying -3y + 9(6y + -5) = -8 + -2(2 + -1y) Reorder the terms: -3y + 9(-5 + 6y) = -8 + -2(2 + -1y) -3y + (-5 * 9 + 6y * 9) = -8 + -2(2 + -1y) -3y + (-45 + 54y) = -8 + -2(2 + -1y) Reorder the terms: -45 + -3y + 54y = -8 + -2(2 + -1y) Combine like terms: -3y + 54y = 51y -45 + 51y = -8 + -2(2 + -1y) -45 + 51y = -8 + (2 * -2 + -1y * -2) -45 + 51y = -8 + (-4 + 2y) Combine like terms: -8 + -4 = -12 -45 + 51y = -12 + 2y Solving -45 + 51y = -12 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -45 + 51y + -2y = -12 + 2y + -2y Combine like terms: 51y + -2y = 49y -45 + 49y = -12 + 2y + -2y Combine like terms: 2y + -2y = 0 -45 + 49y = -12 + 0 -45 + 49y = -12 Add '45' to each side of the equation. -45 + 45 + 49y = -12 + 45 Combine like terms: -45 + 45 = 0 0 + 49y = -12 + 45 49y = -12 + 45 Combine like terms: -12 + 45 = 33 49y = 33 Divide each side by '49'. y = 0.6734693878 Simplifying y = 0.6734693878
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