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Simplifying 2(y + 5) + 6(y + -3) + 5 = 0 Reorder the terms: 2(5 + y) + 6(y + -3) + 5 = 0 (5 * 2 + y * 2) + 6(y + -3) + 5 = 0 (10 + 2y) + 6(y + -3) + 5 = 0 Reorder the terms: 10 + 2y + 6(-3 + y) + 5 = 0 10 + 2y + (-3 * 6 + y * 6) + 5 = 0 10 + 2y + (-18 + 6y) + 5 = 0 Reorder the terms: 10 + -18 + 5 + 2y + 6y = 0 Combine like terms: 10 + -18 = -8 -8 + 5 + 2y + 6y = 0 Combine like terms: -8 + 5 = -3 -3 + 2y + 6y = 0 Combine like terms: 2y + 6y = 8y -3 + 8y = 0 Solving -3 + 8y = 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 + 8y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 8y = 0 + 3 8y = 0 + 3 Combine like terms: 0 + 3 = 3 8y = 3 Divide each side by '8'. y = 0.375 Simplifying y = 0.375
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