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Simplifying (3y + -2) + -1y = y + (7 + -1y) Reorder the terms: (-2 + 3y) + -1y = y + (7 + -1y) Remove parenthesis around (-2 + 3y) -2 + 3y + -1y = y + (7 + -1y) Combine like terms: 3y + -1y = 2y -2 + 2y = y + (7 + -1y) Remove parenthesis around (7 + -1y) -2 + 2y = y + 7 + -1y Reorder the terms: -2 + 2y = 7 + y + -1y Combine like terms: y + -1y = 0 -2 + 2y = 7 + 0 -2 + 2y = 7 Solving -2 + 2y = 7 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2y = 7 + 2 Combine like terms: -2 + 2 = 0 0 + 2y = 7 + 2 2y = 7 + 2 Combine like terms: 7 + 2 = 9 2y = 9 Divide each side by '2'. y = 4.5 Simplifying y = 4.5
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