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Simplifying (4y + -1) = (2y + 7) Reorder the terms: (-1 + 4y) = (2y + 7) Remove parenthesis around (-1 + 4y) -1 + 4y = (2y + 7) Reorder the terms: -1 + 4y = (7 + 2y) Remove parenthesis around (7 + 2y) -1 + 4y = 7 + 2y Solving -1 + 4y = 7 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -1 + 4y + -2y = 7 + 2y + -2y Combine like terms: 4y + -2y = 2y -1 + 2y = 7 + 2y + -2y Combine like terms: 2y + -2y = 0 -1 + 2y = 7 + 0 -1 + 2y = 7 Add '1' to each side of the equation. -1 + 1 + 2y = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 2y = 7 + 1 2y = 7 + 1 Combine like terms: 7 + 1 = 8 2y = 8 Divide each side by '2'. y = 4 Simplifying y = 4
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