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Simplifying -8(y + -5) = 3 + -2y Reorder the terms: -8(-5 + y) = 3 + -2y (-5 * -8 + y * -8) = 3 + -2y (40 + -8y) = 3 + -2y Solving 40 + -8y = 3 + -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. 40 + -8y + 2y = 3 + -2y + 2y Combine like terms: -8y + 2y = -6y 40 + -6y = 3 + -2y + 2y Combine like terms: -2y + 2y = 0 40 + -6y = 3 + 0 40 + -6y = 3 Add '-40' to each side of the equation. 40 + -40 + -6y = 3 + -40 Combine like terms: 40 + -40 = 0 0 + -6y = 3 + -40 -6y = 3 + -40 Combine like terms: 3 + -40 = -37 -6y = -37 Divide each side by '-6'. y = 6.166666667 Simplifying y = 6.166666667
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