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Simplifying 4(5y + 1) + 13 = 5(6y + 5) + 20 Reorder the terms: 4(1 + 5y) + 13 = 5(6y + 5) + 20 (1 * 4 + 5y * 4) + 13 = 5(6y + 5) + 20 (4 + 20y) + 13 = 5(6y + 5) + 20 Reorder the terms: 4 + 13 + 20y = 5(6y + 5) + 20 Combine like terms: 4 + 13 = 17 17 + 20y = 5(6y + 5) + 20 Reorder the terms: 17 + 20y = 5(5 + 6y) + 20 17 + 20y = (5 * 5 + 6y * 5) + 20 17 + 20y = (25 + 30y) + 20 Reorder the terms: 17 + 20y = 25 + 20 + 30y Combine like terms: 25 + 20 = 45 17 + 20y = 45 + 30y Solving 17 + 20y = 45 + 30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-30y' to each side of the equation. 17 + 20y + -30y = 45 + 30y + -30y Combine like terms: 20y + -30y = -10y 17 + -10y = 45 + 30y + -30y Combine like terms: 30y + -30y = 0 17 + -10y = 45 + 0 17 + -10y = 45 Add '-17' to each side of the equation. 17 + -17 + -10y = 45 + -17 Combine like terms: 17 + -17 = 0 0 + -10y = 45 + -17 -10y = 45 + -17 Combine like terms: 45 + -17 = 28 -10y = 28 Divide each side by '-10'. y = -2.8 Simplifying y = -2.8
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