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Simplifying -4(Y + 2) = 5Y + 2 Reorder the terms: -4(2 + Y) = 5Y + 2 (2 * -4 + Y * -4) = 5Y + 2 (-8 + -4Y) = 5Y + 2 Reorder the terms: -8 + -4Y = 2 + 5Y Solving -8 + -4Y = 2 + 5Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-5Y' to each side of the equation. -8 + -4Y + -5Y = 2 + 5Y + -5Y Combine like terms: -4Y + -5Y = -9Y -8 + -9Y = 2 + 5Y + -5Y Combine like terms: 5Y + -5Y = 0 -8 + -9Y = 2 + 0 -8 + -9Y = 2 Add '8' to each side of the equation. -8 + 8 + -9Y = 2 + 8 Combine like terms: -8 + 8 = 0 0 + -9Y = 2 + 8 -9Y = 2 + 8 Combine like terms: 2 + 8 = 10 -9Y = 10 Divide each side by '-9'. Y = -1.111111111 Simplifying Y = -1.111111111
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