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Simplifying 7y + 3(2y + 5) = 10y + 17 Reorder the terms: 7y + 3(5 + 2y) = 10y + 17 7y + (5 * 3 + 2y * 3) = 10y + 17 7y + (15 + 6y) = 10y + 17 Reorder the terms: 15 + 7y + 6y = 10y + 17 Combine like terms: 7y + 6y = 13y 15 + 13y = 10y + 17 Reorder the terms: 15 + 13y = 17 + 10y Solving 15 + 13y = 17 + 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. 15 + 13y + -10y = 17 + 10y + -10y Combine like terms: 13y + -10y = 3y 15 + 3y = 17 + 10y + -10y Combine like terms: 10y + -10y = 0 15 + 3y = 17 + 0 15 + 3y = 17 Add '-15' to each side of the equation. 15 + -15 + 3y = 17 + -15 Combine like terms: 15 + -15 = 0 0 + 3y = 17 + -15 3y = 17 + -15 Combine like terms: 17 + -15 = 2 3y = 2 Divide each side by '3'. y = 0.6666666667 Simplifying y = 0.6666666667
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