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Simplifying (3y + 8) = (5y + -14) Reorder the terms: (8 + 3y) = (5y + -14) Remove parenthesis around (8 + 3y) 8 + 3y = (5y + -14) Reorder the terms: 8 + 3y = (-14 + 5y) Remove parenthesis around (-14 + 5y) 8 + 3y = -14 + 5y Solving 8 + 3y = -14 + 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. 8 + 3y + -5y = -14 + 5y + -5y Combine like terms: 3y + -5y = -2y 8 + -2y = -14 + 5y + -5y Combine like terms: 5y + -5y = 0 8 + -2y = -14 + 0 8 + -2y = -14 Add '-8' to each side of the equation. 8 + -8 + -2y = -14 + -8 Combine like terms: 8 + -8 = 0 0 + -2y = -14 + -8 -2y = -14 + -8 Combine like terms: -14 + -8 = -22 -2y = -22 Divide each side by '-2'. y = 11 Simplifying y = 11
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