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Simplifying 3(y + 5) + 8(y + -3) + 6 = 0 Reorder the terms: 3(5 + y) + 8(y + -3) + 6 = 0 (5 * 3 + y * 3) + 8(y + -3) + 6 = 0 (15 + 3y) + 8(y + -3) + 6 = 0 Reorder the terms: 15 + 3y + 8(-3 + y) + 6 = 0 15 + 3y + (-3 * 8 + y * 8) + 6 = 0 15 + 3y + (-24 + 8y) + 6 = 0 Reorder the terms: 15 + -24 + 6 + 3y + 8y = 0 Combine like terms: 15 + -24 = -9 -9 + 6 + 3y + 8y = 0 Combine like terms: -9 + 6 = -3 -3 + 3y + 8y = 0 Combine like terms: 3y + 8y = 11y -3 + 11y = 0 Solving -3 + 11y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 11y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 11y = 0 + 3 11y = 0 + 3 Combine like terms: 0 + 3 = 3 11y = 3 Divide each side by '11'. y = 0.2727272727 Simplifying y = 0.2727272727
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