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Simplifying y + -8(y + -5) = (-9y + 5) + -6 Reorder the terms: y + -8(-5 + y) = (-9y + 5) + -6 y + (-5 * -8 + y * -8) = (-9y + 5) + -6 y + (40 + -8y) = (-9y + 5) + -6 Reorder the terms: 40 + y + -8y = (-9y + 5) + -6 Combine like terms: y + -8y = -7y 40 + -7y = (-9y + 5) + -6 Reorder the terms: 40 + -7y = (5 + -9y) + -6 Remove parenthesis around (5 + -9y) 40 + -7y = 5 + -9y + -6 Reorder the terms: 40 + -7y = 5 + -6 + -9y Combine like terms: 5 + -6 = -1 40 + -7y = -1 + -9y Solving 40 + -7y = -1 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. 40 + -7y + 9y = -1 + -9y + 9y Combine like terms: -7y + 9y = 2y 40 + 2y = -1 + -9y + 9y Combine like terms: -9y + 9y = 0 40 + 2y = -1 + 0 40 + 2y = -1 Add '-40' to each side of the equation. 40 + -40 + 2y = -1 + -40 Combine like terms: 40 + -40 = 0 0 + 2y = -1 + -40 2y = -1 + -40 Combine like terms: -1 + -40 = -41 2y = -41 Divide each side by '2'. y = -20.5 Simplifying y = -20.5
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