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Simplifying -8(y + 4) + -1(-7y + -5) = 1 Reorder the terms: -8(4 + y) + -1(-7y + -5) = 1 (4 * -8 + y * -8) + -1(-7y + -5) = 1 (-32 + -8y) + -1(-7y + -5) = 1 Reorder the terms: -32 + -8y + -1(-5 + -7y) = 1 -32 + -8y + (-5 * -1 + -7y * -1) = 1 -32 + -8y + (5 + 7y) = 1 Reorder the terms: -32 + 5 + -8y + 7y = 1 Combine like terms: -32 + 5 = -27 -27 + -8y + 7y = 1 Combine like terms: -8y + 7y = -1y -27 + -1y = 1 Solving -27 + -1y = 1 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -1y = 1 + 27 Combine like terms: -27 + 27 = 0 0 + -1y = 1 + 27 -1y = 1 + 27 Combine like terms: 1 + 27 = 28 -1y = 28 Divide each side by '-1'. y = -28 Simplifying y = -28
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