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Simplifying 5Y + -3 = 2(Y + -1) Reorder the terms: -3 + 5Y = 2(Y + -1) Reorder the terms: -3 + 5Y = 2(-1 + Y) -3 + 5Y = (-1 * 2 + Y * 2) -3 + 5Y = (-2 + 2Y) Solving -3 + 5Y = -2 + 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. -3 + 5Y + -2Y = -2 + 2Y + -2Y Combine like terms: 5Y + -2Y = 3Y -3 + 3Y = -2 + 2Y + -2Y Combine like terms: 2Y + -2Y = 0 -3 + 3Y = -2 + 0 -3 + 3Y = -2 Add '3' to each side of the equation. -3 + 3 + 3Y = -2 + 3 Combine like terms: -3 + 3 = 0 0 + 3Y = -2 + 3 3Y = -2 + 3 Combine like terms: -2 + 3 = 1 3Y = 1 Divide each side by '3'. Y = 0.3333333333 Simplifying Y = 0.3333333333
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