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Simplifying (5y + -2) = (2y + 40) Reorder the terms: (-2 + 5y) = (2y + 40) Remove parenthesis around (-2 + 5y) -2 + 5y = (2y + 40) Reorder the terms: -2 + 5y = (40 + 2y) Remove parenthesis around (40 + 2y) -2 + 5y = 40 + 2y Solving -2 + 5y = 40 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -2 + 5y + -2y = 40 + 2y + -2y Combine like terms: 5y + -2y = 3y -2 + 3y = 40 + 2y + -2y Combine like terms: 2y + -2y = 0 -2 + 3y = 40 + 0 -2 + 3y = 40 Add '2' to each side of the equation. -2 + 2 + 3y = 40 + 2 Combine like terms: -2 + 2 = 0 0 + 3y = 40 + 2 3y = 40 + 2 Combine like terms: 40 + 2 = 42 3y = 42 Divide each side by '3'. y = 14 Simplifying y = 14
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