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Simplifying 10(y + 4) + -5 = 5y + 50 Reorder the terms: 10(4 + y) + -5 = 5y + 50 (4 * 10 + y * 10) + -5 = 5y + 50 (40 + 10y) + -5 = 5y + 50 Reorder the terms: 40 + -5 + 10y = 5y + 50 Combine like terms: 40 + -5 = 35 35 + 10y = 5y + 50 Reorder the terms: 35 + 10y = 50 + 5y Solving 35 + 10y = 50 + 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. 35 + 10y + -5y = 50 + 5y + -5y Combine like terms: 10y + -5y = 5y 35 + 5y = 50 + 5y + -5y Combine like terms: 5y + -5y = 0 35 + 5y = 50 + 0 35 + 5y = 50 Add '-35' to each side of the equation. 35 + -35 + 5y = 50 + -35 Combine like terms: 35 + -35 = 0 0 + 5y = 50 + -35 5y = 50 + -35 Combine like terms: 50 + -35 = 15 5y = 15 Divide each side by '5'. y = 3 Simplifying y = 3
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