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Simplifying 15 + -1(3 + -5Y) = 2(Y + 3) 15 + (3 * -1 + -5Y * -1) = 2(Y + 3) 15 + (-3 + 5Y) = 2(Y + 3) Combine like terms: 15 + -3 = 12 12 + 5Y = 2(Y + 3) Reorder the terms: 12 + 5Y = 2(3 + Y) 12 + 5Y = (3 * 2 + Y * 2) 12 + 5Y = (6 + 2Y) Solving 12 + 5Y = 6 + 2Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-2Y' to each side of the equation. 12 + 5Y + -2Y = 6 + 2Y + -2Y Combine like terms: 5Y + -2Y = 3Y 12 + 3Y = 6 + 2Y + -2Y Combine like terms: 2Y + -2Y = 0 12 + 3Y = 6 + 0 12 + 3Y = 6 Add '-12' to each side of the equation. 12 + -12 + 3Y = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 3Y = 6 + -12 3Y = 6 + -12 Combine like terms: 6 + -12 = -6 3Y = -6 Divide each side by '3'. Y = -2 Simplifying Y = -2
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