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Simplifying 35y + 45x + 55 = 65y + 45x + 12 + 15 Reorder the terms: 55 + 45x + 35y = 65y + 45x + 12 + 15 Reorder the terms: 55 + 45x + 35y = 12 + 15 + 45x + 65y Combine like terms: 12 + 15 = 27 55 + 45x + 35y = 27 + 45x + 65y Add '-45x' to each side of the equation. 55 + 45x + -45x + 35y = 27 + 45x + -45x + 65y Combine like terms: 45x + -45x = 0 55 + 0 + 35y = 27 + 45x + -45x + 65y 55 + 35y = 27 + 45x + -45x + 65y Combine like terms: 45x + -45x = 0 55 + 35y = 27 + 0 + 65y 55 + 35y = 27 + 65y Solving 55 + 35y = 27 + 65y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-65y' to each side of the equation. 55 + 35y + -65y = 27 + 65y + -65y Combine like terms: 35y + -65y = -30y 55 + -30y = 27 + 65y + -65y Combine like terms: 65y + -65y = 0 55 + -30y = 27 + 0 55 + -30y = 27 Add '-55' to each side of the equation. 55 + -55 + -30y = 27 + -55 Combine like terms: 55 + -55 = 0 0 + -30y = 27 + -55 -30y = 27 + -55 Combine like terms: 27 + -55 = -28 -30y = -28 Divide each side by '-30'. y = 0.9333333333 Simplifying y = 0.9333333333
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