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Simplifying (2y + 5) + -1(y + -3) + (7y + -3y) = 17 Reorder the terms: (5 + 2y) + -1(y + -3) + (7y + -3y) = 17 Remove parenthesis around (5 + 2y) 5 + 2y + -1(y + -3) + (7y + -3y) = 17 Reorder the terms: 5 + 2y + -1(-3 + y) + (7y + -3y) = 17 5 + 2y + (-3 * -1 + y * -1) + (7y + -3y) = 17 5 + 2y + (3 + -1y) + (7y + -3y) = 17 Combine like terms: 7y + -3y = 4y 5 + 2y + 3 + -1y + (4y) = 17 5 + 2y + 3 + -1y + (4y) = 17 Reorder the terms: 5 + 3 + 2y + -1y + (4y) = 17 Combine like terms: 5 + 3 = 8 8 + 2y + -1y + (4y) = 17 Combine like terms: 2y + -1y = 1y 8 + 1y + (4y) = 17 Combine like terms: 1y + (4y) = 5y 8 + 5y = 17 Solving 8 + 5y = 17 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5y = 17 + -8 Combine like terms: 8 + -8 = 0 0 + 5y = 17 + -8 5y = 17 + -8 Combine like terms: 17 + -8 = 9 5y = 9 Divide each side by '5'. y = 1.8 Simplifying y = 1.8
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