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Simplifying 5y + 2 + (3y + 7) = 13y + -11 Reorder the terms: 5y + 2 + (7 + 3y) = 13y + -11 Remove parenthesis around (7 + 3y) 5y + 2 + 7 + 3y = 13y + -11 Reorder the terms: 2 + 7 + 5y + 3y = 13y + -11 Combine like terms: 2 + 7 = 9 9 + 5y + 3y = 13y + -11 Combine like terms: 5y + 3y = 8y 9 + 8y = 13y + -11 Reorder the terms: 9 + 8y = -11 + 13y Solving 9 + 8y = -11 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 9 + 8y + -13y = -11 + 13y + -13y Combine like terms: 8y + -13y = -5y 9 + -5y = -11 + 13y + -13y Combine like terms: 13y + -13y = 0 9 + -5y = -11 + 0 9 + -5y = -11 Add '-9' to each side of the equation. 9 + -9 + -5y = -11 + -9 Combine like terms: 9 + -9 = 0 0 + -5y = -11 + -9 -5y = -11 + -9 Combine like terms: -11 + -9 = -20 -5y = -20 Divide each side by '-5'. y = 4 Simplifying y = 4
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