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Simplifying 9 + -3(-3y + 8) = -6(y + 3) + -6 Reorder the terms: 9 + -3(8 + -3y) = -6(y + 3) + -6 9 + (8 * -3 + -3y * -3) = -6(y + 3) + -6 9 + (-24 + 9y) = -6(y + 3) + -6 Combine like terms: 9 + -24 = -15 -15 + 9y = -6(y + 3) + -6 Reorder the terms: -15 + 9y = -6(3 + y) + -6 -15 + 9y = (3 * -6 + y * -6) + -6 -15 + 9y = (-18 + -6y) + -6 Reorder the terms: -15 + 9y = -18 + -6 + -6y Combine like terms: -18 + -6 = -24 -15 + 9y = -24 + -6y Solving -15 + 9y = -24 + -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. -15 + 9y + 6y = -24 + -6y + 6y Combine like terms: 9y + 6y = 15y -15 + 15y = -24 + -6y + 6y Combine like terms: -6y + 6y = 0 -15 + 15y = -24 + 0 -15 + 15y = -24 Add '15' to each side of the equation. -15 + 15 + 15y = -24 + 15 Combine like terms: -15 + 15 = 0 0 + 15y = -24 + 15 15y = -24 + 15 Combine like terms: -24 + 15 = -9 15y = -9 Divide each side by '15'. y = -0.6 Simplifying y = -0.6
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