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Simplifying (3y + -5)(2 + 7) = 0 Reorder the terms: (-5 + 3y)(2 + 7) = 0 Combine like terms: 2 + 7 = 9 (-5 + 3y)(9) = 0 Reorder the terms for easier multiplication: 9(-5 + 3y) = 0 (-5 * 9 + 3y * 9) = 0 (-45 + 27y) = 0 Solving -45 + 27y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 27y = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 27y = 0 + 45 27y = 0 + 45 Combine like terms: 0 + 45 = 45 27y = 45 Divide each side by '27'. y = 1.666666667 Simplifying y = 1.666666667
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