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Simplifying 5(y + -9) = 3(2y + 5) Reorder the terms: 5(-9 + y) = 3(2y + 5) (-9 * 5 + y * 5) = 3(2y + 5) (-45 + 5y) = 3(2y + 5) Reorder the terms: -45 + 5y = 3(5 + 2y) -45 + 5y = (5 * 3 + 2y * 3) -45 + 5y = (15 + 6y) Solving -45 + 5y = 15 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -45 + 5y + -6y = 15 + 6y + -6y Combine like terms: 5y + -6y = -1y -45 + -1y = 15 + 6y + -6y Combine like terms: 6y + -6y = 0 -45 + -1y = 15 + 0 -45 + -1y = 15 Add '45' to each side of the equation. -45 + 45 + -1y = 15 + 45 Combine like terms: -45 + 45 = 0 0 + -1y = 15 + 45 -1y = 15 + 45 Combine like terms: 15 + 45 = 60 -1y = 60 Divide each side by '-1'. y = -60 Simplifying y = -60
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