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Simplifying -2y + 9(-1y + -4) = 9 + -6(6 + -1y) Reorder the terms: -2y + 9(-4 + -1y) = 9 + -6(6 + -1y) -2y + (-4 * 9 + -1y * 9) = 9 + -6(6 + -1y) -2y + (-36 + -9y) = 9 + -6(6 + -1y) Reorder the terms: -36 + -2y + -9y = 9 + -6(6 + -1y) Combine like terms: -2y + -9y = -11y -36 + -11y = 9 + -6(6 + -1y) -36 + -11y = 9 + (6 * -6 + -1y * -6) -36 + -11y = 9 + (-36 + 6y) Combine like terms: 9 + -36 = -27 -36 + -11y = -27 + 6y Solving -36 + -11y = -27 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -36 + -11y + -6y = -27 + 6y + -6y Combine like terms: -11y + -6y = -17y -36 + -17y = -27 + 6y + -6y Combine like terms: 6y + -6y = 0 -36 + -17y = -27 + 0 -36 + -17y = -27 Add '36' to each side of the equation. -36 + 36 + -17y = -27 + 36 Combine like terms: -36 + 36 = 0 0 + -17y = -27 + 36 -17y = -27 + 36 Combine like terms: -27 + 36 = 9 -17y = 9 Divide each side by '-17'. y = -0.5294117647 Simplifying y = -0.5294117647
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