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Simplifying 19Y + -34 = 27Y + 15 Reorder the terms: -34 + 19Y = 27Y + 15 Reorder the terms: -34 + 19Y = 15 + 27Y Solving -34 + 19Y = 15 + 27Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-27Y' to each side of the equation. -34 + 19Y + -27Y = 15 + 27Y + -27Y Combine like terms: 19Y + -27Y = -8Y -34 + -8Y = 15 + 27Y + -27Y Combine like terms: 27Y + -27Y = 0 -34 + -8Y = 15 + 0 -34 + -8Y = 15 Add '34' to each side of the equation. -34 + 34 + -8Y = 15 + 34 Combine like terms: -34 + 34 = 0 0 + -8Y = 15 + 34 -8Y = 15 + 34 Combine like terms: 15 + 34 = 49 -8Y = 49 Divide each side by '-8'. Y = -6.125 Simplifying Y = -6.125
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