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Simplifying -7(Y + -5) = 4Y + 24 Reorder the terms: -7(-5 + Y) = 4Y + 24 (-5 * -7 + Y * -7) = 4Y + 24 (35 + -7Y) = 4Y + 24 Reorder the terms: 35 + -7Y = 24 + 4Y Solving 35 + -7Y = 24 + 4Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-4Y' to each side of the equation. 35 + -7Y + -4Y = 24 + 4Y + -4Y Combine like terms: -7Y + -4Y = -11Y 35 + -11Y = 24 + 4Y + -4Y Combine like terms: 4Y + -4Y = 0 35 + -11Y = 24 + 0 35 + -11Y = 24 Add '-35' to each side of the equation. 35 + -35 + -11Y = 24 + -35 Combine like terms: 35 + -35 = 0 0 + -11Y = 24 + -35 -11Y = 24 + -35 Combine like terms: 24 + -35 = -11 -11Y = -11 Divide each side by '-11'. Y = 1 Simplifying Y = 1
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