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Simplifying 5(y + 1) + 2y = 7y + 17 + -3y Reorder the terms: 5(1 + y) + 2y = 7y + 17 + -3y (1 * 5 + y * 5) + 2y = 7y + 17 + -3y (5 + 5y) + 2y = 7y + 17 + -3y Combine like terms: 5y + 2y = 7y 5 + 7y = 7y + 17 + -3y Reorder the terms: 5 + 7y = 17 + 7y + -3y Combine like terms: 7y + -3y = 4y 5 + 7y = 17 + 4y Solving 5 + 7y = 17 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 5 + 7y + -4y = 17 + 4y + -4y Combine like terms: 7y + -4y = 3y 5 + 3y = 17 + 4y + -4y Combine like terms: 4y + -4y = 0 5 + 3y = 17 + 0 5 + 3y = 17 Add '-5' to each side of the equation. 5 + -5 + 3y = 17 + -5 Combine like terms: 5 + -5 = 0 0 + 3y = 17 + -5 3y = 17 + -5 Combine like terms: 17 + -5 = 12 3y = 12 Divide each side by '3'. y = 4 Simplifying y = 4
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