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Simplifying (4y + -1) + (2y + -1) = 5y Reorder the terms: (-1 + 4y) + (2y + -1) = 5y Remove parenthesis around (-1 + 4y) -1 + 4y + (2y + -1) = 5y Reorder the terms: -1 + 4y + (-1 + 2y) = 5y Remove parenthesis around (-1 + 2y) -1 + 4y + -1 + 2y = 5y Reorder the terms: -1 + -1 + 4y + 2y = 5y Combine like terms: -1 + -1 = -2 -2 + 4y + 2y = 5y Combine like terms: 4y + 2y = 6y -2 + 6y = 5y Solving -2 + 6y = 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. -2 + 6y + -5y = 5y + -5y Combine like terms: 6y + -5y = 1y -2 + 1y = 5y + -5y Combine like terms: 5y + -5y = 0 -2 + 1y = 0 Add '2' to each side of the equation. -2 + 2 + 1y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 1y = 0 + 2 1y = 0 + 2 Combine like terms: 0 + 2 = 2 1y = 2 Divide each side by '1'. y = 2 Simplifying y = 2
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