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Simplifying (3y + 27) = (5y + -3) Reorder the terms: (27 + 3y) = (5y + -3) Remove parenthesis around (27 + 3y) 27 + 3y = (5y + -3) Reorder the terms: 27 + 3y = (-3 + 5y) Remove parenthesis around (-3 + 5y) 27 + 3y = -3 + 5y Solving 27 + 3y = -3 + 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. 27 + 3y + -5y = -3 + 5y + -5y Combine like terms: 3y + -5y = -2y 27 + -2y = -3 + 5y + -5y Combine like terms: 5y + -5y = 0 27 + -2y = -3 + 0 27 + -2y = -3 Add '-27' to each side of the equation. 27 + -27 + -2y = -3 + -27 Combine like terms: 27 + -27 = 0 0 + -2y = -3 + -27 -2y = -3 + -27 Combine like terms: -3 + -27 = -30 -2y = -30 Divide each side by '-2'. y = 15 Simplifying y = 15
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