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Simplifying 2(y + -6) + 5(y + 8) = 0 Reorder the terms: 2(-6 + y) + 5(y + 8) = 0 (-6 * 2 + y * 2) + 5(y + 8) = 0 (-12 + 2y) + 5(y + 8) = 0 Reorder the terms: -12 + 2y + 5(8 + y) = 0 -12 + 2y + (8 * 5 + y * 5) = 0 -12 + 2y + (40 + 5y) = 0 Reorder the terms: -12 + 40 + 2y + 5y = 0 Combine like terms: -12 + 40 = 28 28 + 2y + 5y = 0 Combine like terms: 2y + 5y = 7y 28 + 7y = 0 Solving 28 + 7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 7y = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 7y = 0 + -28 7y = 0 + -28 Combine like terms: 0 + -28 = -28 7y = -28 Divide each side by '7'. y = -4 Simplifying y = -4
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