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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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