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Simplifying 35(y + 2) = 5(6y + 7) Reorder the terms: 35(2 + y) = 5(6y + 7) (2 * 35 + y * 35) = 5(6y + 7) (70 + 35y) = 5(6y + 7) Reorder the terms: 70 + 35y = 5(7 + 6y) 70 + 35y = (7 * 5 + 6y * 5) 70 + 35y = (35 + 30y) Solving 70 + 35y = 35 + 30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-30y' to each side of the equation. 70 + 35y + -30y = 35 + 30y + -30y Combine like terms: 35y + -30y = 5y 70 + 5y = 35 + 30y + -30y Combine like terms: 30y + -30y = 0 70 + 5y = 35 + 0 70 + 5y = 35 Add '-70' to each side of the equation. 70 + -70 + 5y = 35 + -70 Combine like terms: 70 + -70 = 0 0 + 5y = 35 + -70 5y = 35 + -70 Combine like terms: 35 + -70 = -35 5y = -35 Divide each side by '5'. y = -7 Simplifying y = -7
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