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Simplifying 5(2y + -9) + -1(5y + 8) = 0 Reorder the terms: 5(-9 + 2y) + -1(5y + 8) = 0 (-9 * 5 + 2y * 5) + -1(5y + 8) = 0 (-45 + 10y) + -1(5y + 8) = 0 Reorder the terms: -45 + 10y + -1(8 + 5y) = 0 -45 + 10y + (8 * -1 + 5y * -1) = 0 -45 + 10y + (-8 + -5y) = 0 Reorder the terms: -45 + -8 + 10y + -5y = 0 Combine like terms: -45 + -8 = -53 -53 + 10y + -5y = 0 Combine like terms: 10y + -5y = 5y -53 + 5y = 0 Solving -53 + 5y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '53' to each side of the equation. -53 + 53 + 5y = 0 + 53 Combine like terms: -53 + 53 = 0 0 + 5y = 0 + 53 5y = 0 + 53 Combine like terms: 0 + 53 = 53 5y = 53 Divide each side by '5'. y = 10.6 Simplifying y = 10.6
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