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Simplifying 6y + 9 = 3 + -3(2y + 3) Reorder the terms: 9 + 6y = 3 + -3(2y + 3) Reorder the terms: 9 + 6y = 3 + -3(3 + 2y) 9 + 6y = 3 + (3 * -3 + 2y * -3) 9 + 6y = 3 + (-9 + -6y) Combine like terms: 3 + -9 = -6 9 + 6y = -6 + -6y Solving 9 + 6y = -6 + -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 + 6y + 6y = -6 + -6y + 6y Combine like terms: 6y + 6y = 12y 9 + 12y = -6 + -6y + 6y Combine like terms: -6y + 6y = 0 9 + 12y = -6 + 0 9 + 12y = -6 Add '-9' to each side of the equation. 9 + -9 + 12y = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 12y = -6 + -9 12y = -6 + -9 Combine like terms: -6 + -9 = -15 12y = -15 Divide each side by '12'. y = -1.25 Simplifying y = -1.25
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