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Simplifying 5(3y + 12) = 6(5x + 20) Reorder the terms: 5(12 + 3y) = 6(5x + 20) (12 * 5 + 3y * 5) = 6(5x + 20) (60 + 15y) = 6(5x + 20) Reorder the terms: 60 + 15y = 6(20 + 5x) 60 + 15y = (20 * 6 + 5x * 6) 60 + 15y = (120 + 30x) Solving 60 + 15y = 120 + 30x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 15y = 120 + -60 + 30x Combine like terms: 60 + -60 = 0 0 + 15y = 120 + -60 + 30x 15y = 120 + -60 + 30x Combine like terms: 120 + -60 = 60 15y = 60 + 30x Divide each side by '15'. y = 4 + 2x Simplifying y = 4 + 2x
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