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Simplifying -30 = 5(Y + -3) + -8Y Reorder the terms: -30 = 5(-3 + Y) + -8Y -30 = (-3 * 5 + Y * 5) + -8Y -30 = (-15 + 5Y) + -8Y Combine like terms: 5Y + -8Y = -3Y -30 = -15 + -3Y Solving -30 = -15 + -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. -30 + 3Y = -15 + -3Y + 3Y Combine like terms: -3Y + 3Y = 0 -30 + 3Y = -15 + 0 -30 + 3Y = -15 Add '30' to each side of the equation. -30 + 30 + 3Y = -15 + 30 Combine like terms: -30 + 30 = 0 0 + 3Y = -15 + 30 3Y = -15 + 30 Combine like terms: -15 + 30 = 15 3Y = 15 Divide each side by '3'. Y = 5 Simplifying Y = 5
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