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Simplifying 6(y + -5) = 8(5y + 7) Reorder the terms: 6(-5 + y) = 8(5y + 7) (-5 * 6 + y * 6) = 8(5y + 7) (-30 + 6y) = 8(5y + 7) Reorder the terms: -30 + 6y = 8(7 + 5y) -30 + 6y = (7 * 8 + 5y * 8) -30 + 6y = (56 + 40y) Solving -30 + 6y = 56 + 40y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-40y' to each side of the equation. -30 + 6y + -40y = 56 + 40y + -40y Combine like terms: 6y + -40y = -34y -30 + -34y = 56 + 40y + -40y Combine like terms: 40y + -40y = 0 -30 + -34y = 56 + 0 -30 + -34y = 56 Add '30' to each side of the equation. -30 + 30 + -34y = 56 + 30 Combine like terms: -30 + 30 = 0 0 + -34y = 56 + 30 -34y = 56 + 30 Combine like terms: 56 + 30 = 86 -34y = 86 Divide each side by '-34'. y = -2.529411765 Simplifying y = -2.529411765
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