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Simplifying -38 + 8Y + 3 = 2(5Y + -4) + -9 Reorder the terms: -38 + 3 + 8Y = 2(5Y + -4) + -9 Combine like terms: -38 + 3 = -35 -35 + 8Y = 2(5Y + -4) + -9 Reorder the terms: -35 + 8Y = 2(-4 + 5Y) + -9 -35 + 8Y = (-4 * 2 + 5Y * 2) + -9 -35 + 8Y = (-8 + 10Y) + -9 Reorder the terms: -35 + 8Y = -8 + -9 + 10Y Combine like terms: -8 + -9 = -17 -35 + 8Y = -17 + 10Y Solving -35 + 8Y = -17 + 10Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-10Y' to each side of the equation. -35 + 8Y + -10Y = -17 + 10Y + -10Y Combine like terms: 8Y + -10Y = -2Y -35 + -2Y = -17 + 10Y + -10Y Combine like terms: 10Y + -10Y = 0 -35 + -2Y = -17 + 0 -35 + -2Y = -17 Add '35' to each side of the equation. -35 + 35 + -2Y = -17 + 35 Combine like terms: -35 + 35 = 0 0 + -2Y = -17 + 35 -2Y = -17 + 35 Combine like terms: -17 + 35 = 18 -2Y = 18 Divide each side by '-2'. Y = -9 Simplifying Y = -9
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