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Simplifying -3y + 9 = -3(2y + 5) Reorder the terms: 9 + -3y = -3(2y + 5) Reorder the terms: 9 + -3y = -3(5 + 2y) 9 + -3y = (5 * -3 + 2y * -3) 9 + -3y = (-15 + -6y) Solving 9 + -3y = -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. 9 + -3y + 6y = -15 + -6y + 6y Combine like terms: -3y + 6y = 3y 9 + 3y = -15 + -6y + 6y Combine like terms: -6y + 6y = 0 9 + 3y = -15 + 0 9 + 3y = -15 Add '-9' to each side of the equation. 9 + -9 + 3y = -15 + -9 Combine like terms: 9 + -9 = 0 0 + 3y = -15 + -9 3y = -15 + -9 Combine like terms: -15 + -9 = -24 3y = -24 Divide each side by '3'. y = -8 Simplifying y = -8
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