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Simplifying 15(y + 4) = 3(2y + 5) Reorder the terms: 15(4 + y) = 3(2y + 5) (4 * 15 + y * 15) = 3(2y + 5) (60 + 15y) = 3(2y + 5) Reorder the terms: 60 + 15y = 3(5 + 2y) 60 + 15y = (5 * 3 + 2y * 3) 60 + 15y = (15 + 6y) Solving 60 + 15y = 15 + 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. 60 + 15y + -6y = 15 + 6y + -6y Combine like terms: 15y + -6y = 9y 60 + 9y = 15 + 6y + -6y Combine like terms: 6y + -6y = 0 60 + 9y = 15 + 0 60 + 9y = 15 Add '-60' to each side of the equation. 60 + -60 + 9y = 15 + -60 Combine like terms: 60 + -60 = 0 0 + 9y = 15 + -60 9y = 15 + -60 Combine like terms: 15 + -60 = -45 9y = -45 Divide each side by '9'. y = -5 Simplifying y = -5
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