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Simplifying -1y + -1(5 + 13y) + 10 = -6(4y + 11) + -9 -1y + (5 * -1 + 13y * -1) + 10 = -6(4y + 11) + -9 -1y + (-5 + -13y) + 10 = -6(4y + 11) + -9 Reorder the terms: -5 + 10 + -1y + -13y = -6(4y + 11) + -9 Combine like terms: -5 + 10 = 5 5 + -1y + -13y = -6(4y + 11) + -9 Combine like terms: -1y + -13y = -14y 5 + -14y = -6(4y + 11) + -9 Reorder the terms: 5 + -14y = -6(11 + 4y) + -9 5 + -14y = (11 * -6 + 4y * -6) + -9 5 + -14y = (-66 + -24y) + -9 Reorder the terms: 5 + -14y = -66 + -9 + -24y Combine like terms: -66 + -9 = -75 5 + -14y = -75 + -24y Solving 5 + -14y = -75 + -24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '24y' to each side of the equation. 5 + -14y + 24y = -75 + -24y + 24y Combine like terms: -14y + 24y = 10y 5 + 10y = -75 + -24y + 24y Combine like terms: -24y + 24y = 0 5 + 10y = -75 + 0 5 + 10y = -75 Add '-5' to each side of the equation. 5 + -5 + 10y = -75 + -5 Combine like terms: 5 + -5 = 0 0 + 10y = -75 + -5 10y = -75 + -5 Combine like terms: -75 + -5 = -80 10y = -80 Divide each side by '10'. y = -8 Simplifying y = -8
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