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Simplifying -4y + -1(2y + 5) = -1(7 + 8y) Reorder the terms: -4y + -1(5 + 2y) = -1(7 + 8y) -4y + (5 * -1 + 2y * -1) = -1(7 + 8y) -4y + (-5 + -2y) = -1(7 + 8y) Reorder the terms: -5 + -4y + -2y = -1(7 + 8y) Combine like terms: -4y + -2y = -6y -5 + -6y = -1(7 + 8y) -5 + -6y = (7 * -1 + 8y * -1) -5 + -6y = (-7 + -8y) Solving -5 + -6y = -7 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -5 + -6y + 8y = -7 + -8y + 8y Combine like terms: -6y + 8y = 2y -5 + 2y = -7 + -8y + 8y Combine like terms: -8y + 8y = 0 -5 + 2y = -7 + 0 -5 + 2y = -7 Add '5' to each side of the equation. -5 + 5 + 2y = -7 + 5 Combine like terms: -5 + 5 = 0 0 + 2y = -7 + 5 2y = -7 + 5 Combine like terms: -7 + 5 = -2 2y = -2 Divide each side by '2'. y = -1 Simplifying y = -1
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