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Simplifying -5Y + -2 = 3Y + -7 Reorder the terms: -2 + -5Y = 3Y + -7 Reorder the terms: -2 + -5Y = -7 + 3Y Solving -2 + -5Y = -7 + 3Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-3Y' to each side of the equation. -2 + -5Y + -3Y = -7 + 3Y + -3Y Combine like terms: -5Y + -3Y = -8Y -2 + -8Y = -7 + 3Y + -3Y Combine like terms: 3Y + -3Y = 0 -2 + -8Y = -7 + 0 -2 + -8Y = -7 Add '2' to each side of the equation. -2 + 2 + -8Y = -7 + 2 Combine like terms: -2 + 2 = 0 0 + -8Y = -7 + 2 -8Y = -7 + 2 Combine like terms: -7 + 2 = -5 -8Y = -5 Divide each side by '-8'. Y = 0.625 Simplifying Y = 0.625
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