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Simplifying 5Y + 11 = 12Y + -12 Reorder the terms: 11 + 5Y = 12Y + -12 Reorder the terms: 11 + 5Y = -12 + 12Y Solving 11 + 5Y = -12 + 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. 11 + 5Y + -12Y = -12 + 12Y + -12Y Combine like terms: 5Y + -12Y = -7Y 11 + -7Y = -12 + 12Y + -12Y Combine like terms: 12Y + -12Y = 0 11 + -7Y = -12 + 0 11 + -7Y = -12 Add '-11' to each side of the equation. 11 + -11 + -7Y = -12 + -11 Combine like terms: 11 + -11 = 0 0 + -7Y = -12 + -11 -7Y = -12 + -11 Combine like terms: -12 + -11 = -23 -7Y = -23 Divide each side by '-7'. Y = 3.285714286 Simplifying Y = 3.285714286
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