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Simplifying -3y + -2(-9y + -8) = -3 + -2(5 + -1y) Reorder the terms: -3y + -2(-8 + -9y) = -3 + -2(5 + -1y) -3y + (-8 * -2 + -9y * -2) = -3 + -2(5 + -1y) -3y + (16 + 18y) = -3 + -2(5 + -1y) Reorder the terms: 16 + -3y + 18y = -3 + -2(5 + -1y) Combine like terms: -3y + 18y = 15y 16 + 15y = -3 + -2(5 + -1y) 16 + 15y = -3 + (5 * -2 + -1y * -2) 16 + 15y = -3 + (-10 + 2y) Combine like terms: -3 + -10 = -13 16 + 15y = -13 + 2y Solving 16 + 15y = -13 + 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. 16 + 15y + -2y = -13 + 2y + -2y Combine like terms: 15y + -2y = 13y 16 + 13y = -13 + 2y + -2y Combine like terms: 2y + -2y = 0 16 + 13y = -13 + 0 16 + 13y = -13 Add '-16' to each side of the equation. 16 + -16 + 13y = -13 + -16 Combine like terms: 16 + -16 = 0 0 + 13y = -13 + -16 13y = -13 + -16 Combine like terms: -13 + -16 = -29 13y = -29 Divide each side by '13'. y = -2.230769231 Simplifying y = -2.230769231
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