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Simplifying -3y + 9 = -4(2y + 4) Reorder the terms: 9 + -3y = -4(2y + 4) Reorder the terms: 9 + -3y = -4(4 + 2y) 9 + -3y = (4 * -4 + 2y * -4) 9 + -3y = (-16 + -8y) Solving 9 + -3y = -16 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 9 + -3y + 8y = -16 + -8y + 8y Combine like terms: -3y + 8y = 5y 9 + 5y = -16 + -8y + 8y Combine like terms: -8y + 8y = 0 9 + 5y = -16 + 0 9 + 5y = -16 Add '-9' to each side of the equation. 9 + -9 + 5y = -16 + -9 Combine like terms: 9 + -9 = 0 0 + 5y = -16 + -9 5y = -16 + -9 Combine like terms: -16 + -9 = -25 5y = -25 Divide each side by '5'. y = -5 Simplifying y = -5
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