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Simplifying 3(4y + 5) + -5(2y + 3) = 0 Reorder the terms: 3(5 + 4y) + -5(2y + 3) = 0 (5 * 3 + 4y * 3) + -5(2y + 3) = 0 (15 + 12y) + -5(2y + 3) = 0 Reorder the terms: 15 + 12y + -5(3 + 2y) = 0 15 + 12y + (3 * -5 + 2y * -5) = 0 15 + 12y + (-15 + -10y) = 0 Reorder the terms: 15 + -15 + 12y + -10y = 0 Combine like terms: 15 + -15 = 0 0 + 12y + -10y = 0 12y + -10y = 0 Combine like terms: 12y + -10y = 2y 2y = 0 Solving 2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '2'. y = 0 Simplifying y = 0
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