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Simplifying 2(2Y + -4) + 3Y = 13 Reorder the terms: 2(-4 + 2Y) + 3Y = 13 (-4 * 2 + 2Y * 2) + 3Y = 13 (-8 + 4Y) + 3Y = 13 Combine like terms: 4Y + 3Y = 7Y -8 + 7Y = 13 Solving -8 + 7Y = 13 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 7Y = 13 + 8 Combine like terms: -8 + 8 = 0 0 + 7Y = 13 + 8 7Y = 13 + 8 Combine like terms: 13 + 8 = 21 7Y = 21 Divide each side by '7'. Y = 3 Simplifying Y = 3
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