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Simplifying -9(-5y + -7) = 3(5y + -9) Reorder the terms: -9(-7 + -5y) = 3(5y + -9) (-7 * -9 + -5y * -9) = 3(5y + -9) (63 + 45y) = 3(5y + -9) Reorder the terms: 63 + 45y = 3(-9 + 5y) 63 + 45y = (-9 * 3 + 5y * 3) 63 + 45y = (-27 + 15y) Solving 63 + 45y = -27 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 63 + 45y + -15y = -27 + 15y + -15y Combine like terms: 45y + -15y = 30y 63 + 30y = -27 + 15y + -15y Combine like terms: 15y + -15y = 0 63 + 30y = -27 + 0 63 + 30y = -27 Add '-63' to each side of the equation. 63 + -63 + 30y = -27 + -63 Combine like terms: 63 + -63 = 0 0 + 30y = -27 + -63 30y = -27 + -63 Combine like terms: -27 + -63 = -90 30y = -90 Divide each side by '30'. y = -3 Simplifying y = -3
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