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Simplifying 2(y + 5) + 8(y + -2) + 5 = 0 Reorder the terms: 2(5 + y) + 8(y + -2) + 5 = 0 (5 * 2 + y * 2) + 8(y + -2) + 5 = 0 (10 + 2y) + 8(y + -2) + 5 = 0 Reorder the terms: 10 + 2y + 8(-2 + y) + 5 = 0 10 + 2y + (-2 * 8 + y * 8) + 5 = 0 10 + 2y + (-16 + 8y) + 5 = 0 Reorder the terms: 10 + -16 + 5 + 2y + 8y = 0 Combine like terms: 10 + -16 = -6 -6 + 5 + 2y + 8y = 0 Combine like terms: -6 + 5 = -1 -1 + 2y + 8y = 0 Combine like terms: 2y + 8y = 10y -1 + 10y = 0 Solving -1 + 10y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 10y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 10y = 0 + 1 10y = 0 + 1 Combine like terms: 0 + 1 = 1 10y = 1 Divide each side by '10'. y = 0.1 Simplifying y = 0.1
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