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Simplifying 5(2y + 3) + -4y = 3(2 + y) + 39 Reorder the terms: 5(3 + 2y) + -4y = 3(2 + y) + 39 (3 * 5 + 2y * 5) + -4y = 3(2 + y) + 39 (15 + 10y) + -4y = 3(2 + y) + 39 Combine like terms: 10y + -4y = 6y 15 + 6y = 3(2 + y) + 39 15 + 6y = (2 * 3 + y * 3) + 39 15 + 6y = (6 + 3y) + 39 Reorder the terms: 15 + 6y = 6 + 39 + 3y Combine like terms: 6 + 39 = 45 15 + 6y = 45 + 3y Solving 15 + 6y = 45 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 15 + 6y + -3y = 45 + 3y + -3y Combine like terms: 6y + -3y = 3y 15 + 3y = 45 + 3y + -3y Combine like terms: 3y + -3y = 0 15 + 3y = 45 + 0 15 + 3y = 45 Add '-15' to each side of the equation. 15 + -15 + 3y = 45 + -15 Combine like terms: 15 + -15 = 0 0 + 3y = 45 + -15 3y = 45 + -15 Combine like terms: 45 + -15 = 30 3y = 30 Divide each side by '3'. y = 10 Simplifying y = 10
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