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Simplifying 3(3y + 10) = 6y + 45 Reorder the terms: 3(10 + 3y) = 6y + 45 (10 * 3 + 3y * 3) = 6y + 45 (30 + 9y) = 6y + 45 Reorder the terms: 30 + 9y = 45 + 6y Solving 30 + 9y = 45 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 30 + 9y + -6y = 45 + 6y + -6y Combine like terms: 9y + -6y = 3y 30 + 3y = 45 + 6y + -6y Combine like terms: 6y + -6y = 0 30 + 3y = 45 + 0 30 + 3y = 45 Add '-30' to each side of the equation. 30 + -30 + 3y = 45 + -30 Combine like terms: 30 + -30 = 0 0 + 3y = 45 + -30 3y = 45 + -30 Combine like terms: 45 + -30 = 15 3y = 15 Divide each side by '3'. y = 5 Simplifying y = 5
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