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Simplifying (5y + 1) = (3y + -7) Reorder the terms: (1 + 5y) = (3y + -7) Remove parenthesis around (1 + 5y) 1 + 5y = (3y + -7) Reorder the terms: 1 + 5y = (-7 + 3y) Remove parenthesis around (-7 + 3y) 1 + 5y = -7 + 3y Solving 1 + 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. 1 + 5y + -3y = -7 + 3y + -3y Combine like terms: 5y + -3y = 2y 1 + 2y = -7 + 3y + -3y Combine like terms: 3y + -3y = 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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