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Simplifying (y + -2) + -1(Y + 6) = 4Y Reorder the terms: (-2 + y) + -1(Y + 6) = 4Y Remove parenthesis around (-2 + y) -2 + y + -1(Y + 6) = 4Y Reorder the terms: -2 + y + -1(6 + Y) = 4Y -2 + y + (6 * -1 + Y * -1) = 4Y -2 + y + (-6 + -1Y) = 4Y Reorder the terms: -2 + -6 + -1Y + y = 4Y Combine like terms: -2 + -6 = -8 -8 + -1Y + y = 4Y Solving -8 + -1Y + y = 4Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-4Y' to each side of the equation. -8 + -1Y + -4Y + y = 4Y + -4Y Combine like terms: -1Y + -4Y = -5Y -8 + -5Y + y = 4Y + -4Y Combine like terms: 4Y + -4Y = 0 -8 + -5Y + y = 0 Add '8' to each side of the equation. -8 + -5Y + 8 + y = 0 + 8 Reorder the terms: -8 + 8 + -5Y + y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5Y + y = 0 + 8 -5Y + y = 0 + 8 Combine like terms: 0 + 8 = 8 -5Y + y = 8 Add '-1y' to each side of the equation. -5Y + y + -1y = 8 + -1y Combine like terms: y + -1y = 0 -5Y + 0 = 8 + -1y -5Y = 8 + -1y Divide each side by '-5'. Y = -1.6 + 0.2y Simplifying Y = -1.6 + 0.2y
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