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Simplifying 5(y + 8) = 10y + 20 Reorder the terms: 5(8 + y) = 10y + 20 (8 * 5 + y * 5) = 10y + 20 (40 + 5y) = 10y + 20 Reorder the terms: 40 + 5y = 20 + 10y Solving 40 + 5y = 20 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 40 + 5y + -10y = 20 + 10y + -10y Combine like terms: 5y + -10y = -5y 40 + -5y = 20 + 10y + -10y Combine like terms: 10y + -10y = 0 40 + -5y = 20 + 0 40 + -5y = 20 Add '-40' to each side of the equation. 40 + -40 + -5y = 20 + -40 Combine like terms: 40 + -40 = 0 0 + -5y = 20 + -40 -5y = 20 + -40 Combine like terms: 20 + -40 = -20 -5y = -20 Divide each side by '-5'. y = 4 Simplifying y = 4
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