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Simplifying 8(y + 5) + -1(3y + 2y) = 0 Reorder the terms: 8(5 + y) + -1(3y + 2y) = 0 (5 * 8 + y * 8) + -1(3y + 2y) = 0 (40 + 8y) + -1(3y + 2y) = 0 Combine like terms: 3y + 2y = 5y 40 + 8y + -1(5y) = 0 Remove parenthesis around (5y) 40 + 8y + -1 * 5y = 0 Multiply -1 * 5 40 + 8y + -5y = 0 Combine like terms: 8y + -5y = 3y 40 + 3y = 0 Solving 40 + 3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 3y = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 3y = 0 + -40 3y = 0 + -40 Combine like terms: 0 + -40 = -40 3y = -40 Divide each side by '3'. y = -13.33333333 Simplifying y = -13.33333333
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