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Simplifying 9(5y + -2) + -1(5y + 2) = 0 Reorder the terms: 9(-2 + 5y) + -1(5y + 2) = 0 (-2 * 9 + 5y * 9) + -1(5y + 2) = 0 (-18 + 45y) + -1(5y + 2) = 0 Reorder the terms: -18 + 45y + -1(2 + 5y) = 0 -18 + 45y + (2 * -1 + 5y * -1) = 0 -18 + 45y + (-2 + -5y) = 0 Reorder the terms: -18 + -2 + 45y + -5y = 0 Combine like terms: -18 + -2 = -20 -20 + 45y + -5y = 0 Combine like terms: 45y + -5y = 40y -20 + 40y = 0 Solving -20 + 40y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 40y = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 40y = 0 + 20 40y = 0 + 20 Combine like terms: 0 + 20 = 20 40y = 20 Divide each side by '40'. y = 0.5 Simplifying y = 0.5
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