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Simplifying 10Y + 7 = 12Y + -7 Reorder the terms: 7 + 10Y = 12Y + -7 Reorder the terms: 7 + 10Y = -7 + 12Y Solving 7 + 10Y = -7 + 12Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-12Y' to each side of the equation. 7 + 10Y + -12Y = -7 + 12Y + -12Y Combine like terms: 10Y + -12Y = -2Y 7 + -2Y = -7 + 12Y + -12Y Combine like terms: 12Y + -12Y = 0 7 + -2Y = -7 + 0 7 + -2Y = -7 Add '-7' to each side of the equation. 7 + -7 + -2Y = -7 + -7 Combine like terms: 7 + -7 = 0 0 + -2Y = -7 + -7 -2Y = -7 + -7 Combine like terms: -7 + -7 = -14 -2Y = -14 Divide each side by '-2'. Y = 7 Simplifying Y = 7
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