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Simplifying 3[Y + 2] + 2[Y + -3] = -15 Reorder the terms: 3[2 + Y] + 2[Y + -3] = -15 [2 * 3 + Y * 3] + 2[Y + -3] = -15 [6 + 3Y] + 2[Y + -3] = -15 Reorder the terms: 6 + 3Y + 2[-3 + Y] = -15 6 + 3Y + [-3 * 2 + Y * 2] = -15 6 + 3Y + [-6 + 2Y] = -15 Reorder the terms: 6 + -6 + 3Y + 2Y = -15 Combine like terms: 6 + -6 = 0 0 + 3Y + 2Y = -15 3Y + 2Y = -15 Combine like terms: 3Y + 2Y = 5Y 5Y = -15 Solving 5Y = -15 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Divide each side by '5'. Y = -3 Simplifying Y = -3
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