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Simplifying (5y + 2) + (3y + 7) = 10y + -1 Reorder the terms: (2 + 5y) + (3y + 7) = 10y + -1 Remove parenthesis around (2 + 5y) 2 + 5y + (3y + 7) = 10y + -1 Reorder the terms: 2 + 5y + (7 + 3y) = 10y + -1 Remove parenthesis around (7 + 3y) 2 + 5y + 7 + 3y = 10y + -1 Reorder the terms: 2 + 7 + 5y + 3y = 10y + -1 Combine like terms: 2 + 7 = 9 9 + 5y + 3y = 10y + -1 Combine like terms: 5y + 3y = 8y 9 + 8y = 10y + -1 Reorder the terms: 9 + 8y = -1 + 10y Solving 9 + 8y = -1 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 9 + 8y + -10y = -1 + 10y + -10y Combine like terms: 8y + -10y = -2y 9 + -2y = -1 + 10y + -10y Combine like terms: 10y + -10y = 0 9 + -2y = -1 + 0 9 + -2y = -1 Add '-9' to each side of the equation. 9 + -9 + -2y = -1 + -9 Combine like terms: 9 + -9 = 0 0 + -2y = -1 + -9 -2y = -1 + -9 Combine like terms: -1 + -9 = -10 -2y = -10 Divide each side by '-2'. y = 5 Simplifying y = 5
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