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Simplifying 30 + 3y + -10 = 13y + -10 + -5y Reorder the terms: 30 + -10 + 3y = 13y + -10 + -5y Combine like terms: 30 + -10 = 20 20 + 3y = 13y + -10 + -5y Reorder the terms: 20 + 3y = -10 + 13y + -5y Combine like terms: 13y + -5y = 8y 20 + 3y = -10 + 8y Solving 20 + 3y = -10 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 20 + 3y + -8y = -10 + 8y + -8y Combine like terms: 3y + -8y = -5y 20 + -5y = -10 + 8y + -8y Combine like terms: 8y + -8y = 0 20 + -5y = -10 + 0 20 + -5y = -10 Add '-20' to each side of the equation. 20 + -20 + -5y = -10 + -20 Combine like terms: 20 + -20 = 0 0 + -5y = -10 + -20 -5y = -10 + -20 Combine like terms: -10 + -20 = -30 -5y = -30 Divide each side by '-5'. y = 6 Simplifying y = 6
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