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Simplifying 10y + 20 = 30y + 40 Reorder the terms: 20 + 10y = 30y + 40 Reorder the terms: 20 + 10y = 40 + 30y Solving 20 + 10y = 40 + 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. 20 + 10y + -30y = 40 + 30y + -30y Combine like terms: 10y + -30y = -20y 20 + -20y = 40 + 30y + -30y Combine like terms: 30y + -30y = 0 20 + -20y = 40 + 0 20 + -20y = 40 Add '-20' to each side of the equation. 20 + -20 + -20y = 40 + -20 Combine like terms: 20 + -20 = 0 0 + -20y = 40 + -20 -20y = 40 + -20 Combine like terms: 40 + -20 = 20 -20y = 20 Divide each side by '-20'. y = -1 Simplifying y = -1
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