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Simplifying 10Y + -21 = 7Y + -3 Reorder the terms: -21 + 10Y = 7Y + -3 Reorder the terms: -21 + 10Y = -3 + 7Y Solving -21 + 10Y = -3 + 7Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-7Y' to each side of the equation. -21 + 10Y + -7Y = -3 + 7Y + -7Y Combine like terms: 10Y + -7Y = 3Y -21 + 3Y = -3 + 7Y + -7Y Combine like terms: 7Y + -7Y = 0 -21 + 3Y = -3 + 0 -21 + 3Y = -3 Add '21' to each side of the equation. -21 + 21 + 3Y = -3 + 21 Combine like terms: -21 + 21 = 0 0 + 3Y = -3 + 21 3Y = -3 + 21 Combine like terms: -3 + 21 = 18 3Y = 18 Divide each side by '3'. Y = 6 Simplifying Y = 6
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