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Simplifying -8(4Y + -7) = 35 + -6Y Reorder the terms: -8(-7 + 4Y) = 35 + -6Y (-7 * -8 + 4Y * -8) = 35 + -6Y (56 + -32Y) = 35 + -6Y Solving 56 + -32Y = 35 + -6Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '6Y' to each side of the equation. 56 + -32Y + 6Y = 35 + -6Y + 6Y Combine like terms: -32Y + 6Y = -26Y 56 + -26Y = 35 + -6Y + 6Y Combine like terms: -6Y + 6Y = 0 56 + -26Y = 35 + 0 56 + -26Y = 35 Add '-56' to each side of the equation. 56 + -56 + -26Y = 35 + -56 Combine like terms: 56 + -56 = 0 0 + -26Y = 35 + -56 -26Y = 35 + -56 Combine like terms: 35 + -56 = -21 -26Y = -21 Divide each side by '-26'. Y = 0.8076923077 Simplifying Y = 0.8076923077
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