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Simplifying 5(y + -9) = -3y Reorder the terms: 5(-9 + y) = -3y (-9 * 5 + y * 5) = -3y (-45 + 5y) = -3y Solving -45 + 5y = -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -45 + 5y + 3y = -3y + 3y Combine like terms: 5y + 3y = 8y -45 + 8y = -3y + 3y Combine like terms: -3y + 3y = 0 -45 + 8y = 0 Add '45' to each side of the equation. -45 + 45 + 8y = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 8y = 0 + 45 8y = 0 + 45 Combine like terms: 0 + 45 = 45 8y = 45 Divide each side by '8'. y = 5.625 Simplifying y = 5.625
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