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Simplifying -2Y + -12 = 5Y + 30 Reorder the terms: -12 + -2Y = 5Y + 30 Reorder the terms: -12 + -2Y = 30 + 5Y Solving -12 + -2Y = 30 + 5Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-5Y' to each side of the equation. -12 + -2Y + -5Y = 30 + 5Y + -5Y Combine like terms: -2Y + -5Y = -7Y -12 + -7Y = 30 + 5Y + -5Y Combine like terms: 5Y + -5Y = 0 -12 + -7Y = 30 + 0 -12 + -7Y = 30 Add '12' to each side of the equation. -12 + 12 + -7Y = 30 + 12 Combine like terms: -12 + 12 = 0 0 + -7Y = 30 + 12 -7Y = 30 + 12 Combine like terms: 30 + 12 = 42 -7Y = 42 Divide each side by '-7'. Y = -6 Simplifying Y = -6
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