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Simplifying 5(Y + -3) + -2(Y + -2) = 2 Reorder the terms: 5(-3 + Y) + -2(Y + -2) = 2 (-3 * 5 + Y * 5) + -2(Y + -2) = 2 (-15 + 5Y) + -2(Y + -2) = 2 Reorder the terms: -15 + 5Y + -2(-2 + Y) = 2 -15 + 5Y + (-2 * -2 + Y * -2) = 2 -15 + 5Y + (4 + -2Y) = 2 Reorder the terms: -15 + 4 + 5Y + -2Y = 2 Combine like terms: -15 + 4 = -11 -11 + 5Y + -2Y = 2 Combine like terms: 5Y + -2Y = 3Y -11 + 3Y = 2 Solving -11 + 3Y = 2 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 3Y = 2 + 11 Combine like terms: -11 + 11 = 0 0 + 3Y = 2 + 11 3Y = 2 + 11 Combine like terms: 2 + 11 = 13 3Y = 13 Divide each side by '3'. Y = 4.333333333 Simplifying Y = 4.333333333
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