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Simplifying 7(4y + 3) + -3(8y + -5) = 0 Reorder the terms: 7(3 + 4y) + -3(8y + -5) = 0 (3 * 7 + 4y * 7) + -3(8y + -5) = 0 (21 + 28y) + -3(8y + -5) = 0 Reorder the terms: 21 + 28y + -3(-5 + 8y) = 0 21 + 28y + (-5 * -3 + 8y * -3) = 0 21 + 28y + (15 + -24y) = 0 Reorder the terms: 21 + 15 + 28y + -24y = 0 Combine like terms: 21 + 15 = 36 36 + 28y + -24y = 0 Combine like terms: 28y + -24y = 4y 36 + 4y = 0 Solving 36 + 4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 4y = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 4y = 0 + -36 4y = 0 + -36 Combine like terms: 0 + -36 = -36 4y = -36 Divide each side by '4'. y = -9 Simplifying y = -9
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