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Simplifying -4(2y + 4) + -1 = -4(y + 8) + 2y Reorder the terms: -4(4 + 2y) + -1 = -4(y + 8) + 2y (4 * -4 + 2y * -4) + -1 = -4(y + 8) + 2y (-16 + -8y) + -1 = -4(y + 8) + 2y Reorder the terms: -16 + -1 + -8y = -4(y + 8) + 2y Combine like terms: -16 + -1 = -17 -17 + -8y = -4(y + 8) + 2y Reorder the terms: -17 + -8y = -4(8 + y) + 2y -17 + -8y = (8 * -4 + y * -4) + 2y -17 + -8y = (-32 + -4y) + 2y Combine like terms: -4y + 2y = -2y -17 + -8y = -32 + -2y Solving -17 + -8y = -32 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -17 + -8y + 2y = -32 + -2y + 2y Combine like terms: -8y + 2y = -6y -17 + -6y = -32 + -2y + 2y Combine like terms: -2y + 2y = 0 -17 + -6y = -32 + 0 -17 + -6y = -32 Add '17' to each side of the equation. -17 + 17 + -6y = -32 + 17 Combine like terms: -17 + 17 = 0 0 + -6y = -32 + 17 -6y = -32 + 17 Combine like terms: -32 + 17 = -15 -6y = -15 Divide each side by '-6'. y = 2.5 Simplifying y = 2.5
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