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Simplifying 5(5y + -9) = 10y Reorder the terms: 5(-9 + 5y) = 10y (-9 * 5 + 5y * 5) = 10y (-45 + 25y) = 10y Solving -45 + 25y = 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -45 + 25y + -10y = 10y + -10y Combine like terms: 25y + -10y = 15y -45 + 15y = 10y + -10y Combine like terms: 10y + -10y = 0 -45 + 15y = 0 Add '45' to each side of the equation. -45 + 45 + 15y = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 15y = 0 + 45 15y = 0 + 45 Combine like terms: 0 + 45 = 45 15y = 45 Divide each side by '15'. y = 3 Simplifying y = 3
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