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Simplifying -3(-6y + 9) + -1y = 5(y + -6) + -3 Reorder the terms: -3(9 + -6y) + -1y = 5(y + -6) + -3 (9 * -3 + -6y * -3) + -1y = 5(y + -6) + -3 (-27 + 18y) + -1y = 5(y + -6) + -3 Combine like terms: 18y + -1y = 17y -27 + 17y = 5(y + -6) + -3 Reorder the terms: -27 + 17y = 5(-6 + y) + -3 -27 + 17y = (-6 * 5 + y * 5) + -3 -27 + 17y = (-30 + 5y) + -3 Reorder the terms: -27 + 17y = -30 + -3 + 5y Combine like terms: -30 + -3 = -33 -27 + 17y = -33 + 5y Solving -27 + 17y = -33 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -27 + 17y + -5y = -33 + 5y + -5y Combine like terms: 17y + -5y = 12y -27 + 12y = -33 + 5y + -5y Combine like terms: 5y + -5y = 0 -27 + 12y = -33 + 0 -27 + 12y = -33 Add '27' to each side of the equation. -27 + 27 + 12y = -33 + 27 Combine like terms: -27 + 27 = 0 0 + 12y = -33 + 27 12y = -33 + 27 Combine like terms: -33 + 27 = -6 12y = -6 Divide each side by '12'. y = -0.5 Simplifying y = -0.5
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