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Simplifying 12Y + 48 = 7Y + -47 Reorder the terms: 48 + 12Y = 7Y + -47 Reorder the terms: 48 + 12Y = -47 + 7Y Solving 48 + 12Y = -47 + 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. 48 + 12Y + -7Y = -47 + 7Y + -7Y Combine like terms: 12Y + -7Y = 5Y 48 + 5Y = -47 + 7Y + -7Y Combine like terms: 7Y + -7Y = 0 48 + 5Y = -47 + 0 48 + 5Y = -47 Add '-48' to each side of the equation. 48 + -48 + 5Y = -47 + -48 Combine like terms: 48 + -48 = 0 0 + 5Y = -47 + -48 5Y = -47 + -48 Combine like terms: -47 + -48 = -95 5Y = -95 Divide each side by '5'. Y = -19 Simplifying Y = -19
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