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Simplifying -2(y + 4) = -5y + -17 Reorder the terms: -2(4 + y) = -5y + -17 (4 * -2 + y * -2) = -5y + -17 (-8 + -2y) = -5y + -17 Reorder the terms: -8 + -2y = -17 + -5y Solving -8 + -2y = -17 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -8 + -2y + 5y = -17 + -5y + 5y Combine like terms: -2y + 5y = 3y -8 + 3y = -17 + -5y + 5y Combine like terms: -5y + 5y = 0 -8 + 3y = -17 + 0 -8 + 3y = -17 Add '8' to each side of the equation. -8 + 8 + 3y = -17 + 8 Combine like terms: -8 + 8 = 0 0 + 3y = -17 + 8 3y = -17 + 8 Combine like terms: -17 + 8 = -9 3y = -9 Divide each side by '3'. y = -3 Simplifying y = -3
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