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Simplifying -5(y + -8) + -2(y + -1) + -1 = 3y + -9 Reorder the terms: -5(-8 + y) + -2(y + -1) + -1 = 3y + -9 (-8 * -5 + y * -5) + -2(y + -1) + -1 = 3y + -9 (40 + -5y) + -2(y + -1) + -1 = 3y + -9 Reorder the terms: 40 + -5y + -2(-1 + y) + -1 = 3y + -9 40 + -5y + (-1 * -2 + y * -2) + -1 = 3y + -9 40 + -5y + (2 + -2y) + -1 = 3y + -9 Reorder the terms: 40 + 2 + -1 + -5y + -2y = 3y + -9 Combine like terms: 40 + 2 = 42 42 + -1 + -5y + -2y = 3y + -9 Combine like terms: 42 + -1 = 41 41 + -5y + -2y = 3y + -9 Combine like terms: -5y + -2y = -7y 41 + -7y = 3y + -9 Reorder the terms: 41 + -7y = -9 + 3y Solving 41 + -7y = -9 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 41 + -7y + -3y = -9 + 3y + -3y Combine like terms: -7y + -3y = -10y 41 + -10y = -9 + 3y + -3y Combine like terms: 3y + -3y = 0 41 + -10y = -9 + 0 41 + -10y = -9 Add '-41' to each side of the equation. 41 + -41 + -10y = -9 + -41 Combine like terms: 41 + -41 = 0 0 + -10y = -9 + -41 -10y = -9 + -41 Combine like terms: -9 + -41 = -50 -10y = -50 Divide each side by '-10'. y = 5 Simplifying y = 5
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