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Simplifying (6y + 2y + 1) + (2y + 3) + -1(5y + -2Y) = 0 Reorder the terms: (1 + 6y + 2y) + (2y + 3) + -1(5y + -2Y) = 0 Combine like terms: 6y + 2y = 8y (1 + 8y) + (2y + 3) + -1(5y + -2Y) = 0 Remove parenthesis around (1 + 8y) 1 + 8y + (2y + 3) + -1(5y + -2Y) = 0 Reorder the terms: 1 + 8y + (3 + 2y) + -1(5y + -2Y) = 0 Remove parenthesis around (3 + 2y) 1 + 8y + 3 + 2y + -1(5y + -2Y) = 0 Reorder the terms: 1 + 8y + 3 + 2y + -1(-2Y + 5y) = 0 1 + 8y + 3 + 2y + (-2Y * -1 + 5y * -1) = 0 1 + 8y + 3 + 2y + (2Y + -5y) = 0 Reorder the terms: 1 + 3 + 2Y + 8y + 2y + -5y = 0 Combine like terms: 1 + 3 = 4 4 + 2Y + 8y + 2y + -5y = 0 Combine like terms: 8y + 2y = 10y 4 + 2Y + 10y + -5y = 0 Combine like terms: 10y + -5y = 5y 4 + 2Y + 5y = 0 Solving 4 + 2Y + 5y = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 2Y + -4 + 5y = 0 + -4 Reorder the terms: 4 + -4 + 2Y + 5y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2Y + 5y = 0 + -4 2Y + 5y = 0 + -4 Combine like terms: 0 + -4 = -4 2Y + 5y = -4 Add '-5y' to each side of the equation. 2Y + 5y + -5y = -4 + -5y Combine like terms: 5y + -5y = 0 2Y + 0 = -4 + -5y 2Y = -4 + -5y Divide each side by '2'. Y = -2 + -2.5y Simplifying Y = -2 + -2.5y
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