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Simplifying 2(9y + 2) + -5(y + -8) = 0 Reorder the terms: 2(2 + 9y) + -5(y + -8) = 0 (2 * 2 + 9y * 2) + -5(y + -8) = 0 (4 + 18y) + -5(y + -8) = 0 Reorder the terms: 4 + 18y + -5(-8 + y) = 0 4 + 18y + (-8 * -5 + y * -5) = 0 4 + 18y + (40 + -5y) = 0 Reorder the terms: 4 + 40 + 18y + -5y = 0 Combine like terms: 4 + 40 = 44 44 + 18y + -5y = 0 Combine like terms: 18y + -5y = 13y 44 + 13y = 0 Solving 44 + 13y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 13y = 0 + -44 Combine like terms: 44 + -44 = 0 0 + 13y = 0 + -44 13y = 0 + -44 Combine like terms: 0 + -44 = -44 13y = -44 Divide each side by '13'. y = -3.384615385 Simplifying y = -3.384615385
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