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Simplifying -3(5y + 8) = -17 + -6y Reorder the terms: -3(8 + 5y) = -17 + -6y (8 * -3 + 5y * -3) = -17 + -6y (-24 + -15y) = -17 + -6y Solving -24 + -15y = -17 + -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. -24 + -15y + 6y = -17 + -6y + 6y Combine like terms: -15y + 6y = -9y -24 + -9y = -17 + -6y + 6y Combine like terms: -6y + 6y = 0 -24 + -9y = -17 + 0 -24 + -9y = -17 Add '24' to each side of the equation. -24 + 24 + -9y = -17 + 24 Combine like terms: -24 + 24 = 0 0 + -9y = -17 + 24 -9y = -17 + 24 Combine like terms: -17 + 24 = 7 -9y = 7 Divide each side by '-9'. y = -0.7777777778 Simplifying y = -0.7777777778
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