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Simplifying 5(3y + 1) + -3(2y + -5) = 65 Reorder the terms: 5(1 + 3y) + -3(2y + -5) = 65 (1 * 5 + 3y * 5) + -3(2y + -5) = 65 (5 + 15y) + -3(2y + -5) = 65 Reorder the terms: 5 + 15y + -3(-5 + 2y) = 65 5 + 15y + (-5 * -3 + 2y * -3) = 65 5 + 15y + (15 + -6y) = 65 Reorder the terms: 5 + 15 + 15y + -6y = 65 Combine like terms: 5 + 15 = 20 20 + 15y + -6y = 65 Combine like terms: 15y + -6y = 9y 20 + 9y = 65 Solving 20 + 9y = 65 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 9y = 65 + -20 Combine like terms: 20 + -20 = 0 0 + 9y = 65 + -20 9y = 65 + -20 Combine like terms: 65 + -20 = 45 9y = 45 Divide each side by '9'. y = 5 Simplifying y = 5
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