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Simplifying -7(8y + 2) = 27 + -5y Reorder the terms: -7(2 + 8y) = 27 + -5y (2 * -7 + 8y * -7) = 27 + -5y (-14 + -56y) = 27 + -5y Solving -14 + -56y = 27 + -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. -14 + -56y + 5y = 27 + -5y + 5y Combine like terms: -56y + 5y = -51y -14 + -51y = 27 + -5y + 5y Combine like terms: -5y + 5y = 0 -14 + -51y = 27 + 0 -14 + -51y = 27 Add '14' to each side of the equation. -14 + 14 + -51y = 27 + 14 Combine like terms: -14 + 14 = 0 0 + -51y = 27 + 14 -51y = 27 + 14 Combine like terms: 27 + 14 = 41 -51y = 41 Divide each side by '-51'. y = -0.8039215686 Simplifying y = -0.8039215686
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