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Simplifying (5y + -2) = (3y + 7) Reorder the terms: (-2 + 5y) = (3y + 7) Remove parenthesis around (-2 + 5y) -2 + 5y = (3y + 7) Reorder the terms: -2 + 5y = (7 + 3y) Remove parenthesis around (7 + 3y) -2 + 5y = 7 + 3y Solving -2 + 5y = 7 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -2 + 5y + -3y = 7 + 3y + -3y Combine like terms: 5y + -3y = 2y -2 + 2y = 7 + 3y + -3y Combine like terms: 3y + -3y = 0 -2 + 2y = 7 + 0 -2 + 2y = 7 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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