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Simplifying 5(9y + -2) + -1(5y + 8) = 0 Reorder the terms: 5(-2 + 9y) + -1(5y + 8) = 0 (-2 * 5 + 9y * 5) + -1(5y + 8) = 0 (-10 + 45y) + -1(5y + 8) = 0 Reorder the terms: -10 + 45y + -1(8 + 5y) = 0 -10 + 45y + (8 * -1 + 5y * -1) = 0 -10 + 45y + (-8 + -5y) = 0 Reorder the terms: -10 + -8 + 45y + -5y = 0 Combine like terms: -10 + -8 = -18 -18 + 45y + -5y = 0 Combine like terms: 45y + -5y = 40y -18 + 40y = 0 Solving -18 + 40y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 40y = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 40y = 0 + 18 40y = 0 + 18 Combine like terms: 0 + 18 = 18 40y = 18 Divide each side by '40'. y = 0.45 Simplifying y = 0.45
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