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Simplifying 5(10 + -1Y) = 6(Y + 1) (10 * 5 + -1Y * 5) = 6(Y + 1) (50 + -5Y) = 6(Y + 1) Reorder the terms: 50 + -5Y = 6(1 + Y) 50 + -5Y = (1 * 6 + Y * 6) 50 + -5Y = (6 + 6Y) Solving 50 + -5Y = 6 + 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. 50 + -5Y + -6Y = 6 + 6Y + -6Y Combine like terms: -5Y + -6Y = -11Y 50 + -11Y = 6 + 6Y + -6Y Combine like terms: 6Y + -6Y = 0 50 + -11Y = 6 + 0 50 + -11Y = 6 Add '-50' to each side of the equation. 50 + -50 + -11Y = 6 + -50 Combine like terms: 50 + -50 = 0 0 + -11Y = 6 + -50 -11Y = 6 + -50 Combine like terms: 6 + -50 = -44 -11Y = -44 Divide each side by '-11'. Y = 4 Simplifying Y = 4
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