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Simplifying 5 + -5(-8y + -6) = -5(-3y + -3) + 6 Reorder the terms: 5 + -5(-6 + -8y) = -5(-3y + -3) + 6 5 + (-6 * -5 + -8y * -5) = -5(-3y + -3) + 6 5 + (30 + 40y) = -5(-3y + -3) + 6 Combine like terms: 5 + 30 = 35 35 + 40y = -5(-3y + -3) + 6 Reorder the terms: 35 + 40y = -5(-3 + -3y) + 6 35 + 40y = (-3 * -5 + -3y * -5) + 6 35 + 40y = (15 + 15y) + 6 Reorder the terms: 35 + 40y = 15 + 6 + 15y Combine like terms: 15 + 6 = 21 35 + 40y = 21 + 15y Solving 35 + 40y = 21 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 35 + 40y + -15y = 21 + 15y + -15y Combine like terms: 40y + -15y = 25y 35 + 25y = 21 + 15y + -15y Combine like terms: 15y + -15y = 0 35 + 25y = 21 + 0 35 + 25y = 21 Add '-35' to each side of the equation. 35 + -35 + 25y = 21 + -35 Combine like terms: 35 + -35 = 0 0 + 25y = 21 + -35 25y = 21 + -35 Combine like terms: 21 + -35 = -14 25y = -14 Divide each side by '25'. y = -0.56 Simplifying y = -0.56
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