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Simplifying 35 + -22y + 6 + -18y = 14 + -30y + 32 Reorder the terms: 35 + 6 + -22y + -18y = 14 + -30y + 32 Combine like terms: 35 + 6 = 41 41 + -22y + -18y = 14 + -30y + 32 Combine like terms: -22y + -18y = -40y 41 + -40y = 14 + -30y + 32 Reorder the terms: 41 + -40y = 14 + 32 + -30y Combine like terms: 14 + 32 = 46 41 + -40y = 46 + -30y Solving 41 + -40y = 46 + -30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '30y' to each side of the equation. 41 + -40y + 30y = 46 + -30y + 30y Combine like terms: -40y + 30y = -10y 41 + -10y = 46 + -30y + 30y Combine like terms: -30y + 30y = 0 41 + -10y = 46 + 0 41 + -10y = 46 Add '-41' to each side of the equation. 41 + -41 + -10y = 46 + -41 Combine like terms: 41 + -41 = 0 0 + -10y = 46 + -41 -10y = 46 + -41 Combine like terms: 46 + -41 = 5 -10y = 5 Divide each side by '-10'. y = -0.5 Simplifying y = -0.5
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