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Simplifying 3(y + 5) + 8(y + -3) + 4 = 0 Reorder the terms: 3(5 + y) + 8(y + -3) + 4 = 0 (5 * 3 + y * 3) + 8(y + -3) + 4 = 0 (15 + 3y) + 8(y + -3) + 4 = 0 Reorder the terms: 15 + 3y + 8(-3 + y) + 4 = 0 15 + 3y + (-3 * 8 + y * 8) + 4 = 0 15 + 3y + (-24 + 8y) + 4 = 0 Reorder the terms: 15 + -24 + 4 + 3y + 8y = 0 Combine like terms: 15 + -24 = -9 -9 + 4 + 3y + 8y = 0 Combine like terms: -9 + 4 = -5 -5 + 3y + 8y = 0 Combine like terms: 3y + 8y = 11y -5 + 11y = 0 Solving -5 + 11y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 11y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 11y = 0 + 5 11y = 0 + 5 Combine like terms: 0 + 5 = 5 11y = 5 Divide each side by '11'. y = 0.4545454545 Simplifying y = 0.4545454545
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