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Simplifying 10y + 30 = 5y + -10 Reorder the terms: 30 + 10y = 5y + -10 Reorder the terms: 30 + 10y = -10 + 5y Solving 30 + 10y = -10 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 30 + 10y + -5y = -10 + 5y + -5y Combine like terms: 10y + -5y = 5y 30 + 5y = -10 + 5y + -5y Combine like terms: 5y + -5y = 0 30 + 5y = -10 + 0 30 + 5y = -10 Add '-30' to each side of the equation. 30 + -30 + 5y = -10 + -30 Combine like terms: 30 + -30 = 0 0 + 5y = -10 + -30 5y = -10 + -30 Combine like terms: -10 + -30 = -40 5y = -40 Divide each side by '5'. y = -8 Simplifying y = -8
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