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Simplifying 34 = 2y + 5(y + 4) Reorder the terms: 34 = 2y + 5(4 + y) 34 = 2y + (4 * 5 + y * 5) 34 = 2y + (20 + 5y) Reorder the terms: 34 = 20 + 2y + 5y Combine like terms: 2y + 5y = 7y 34 = 20 + 7y Solving 34 = 20 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 34 + -7y = 20 + 7y + -7y Combine like terms: 7y + -7y = 0 34 + -7y = 20 + 0 34 + -7y = 20 Add '-34' to each side of the equation. 34 + -34 + -7y = 20 + -34 Combine like terms: 34 + -34 = 0 0 + -7y = 20 + -34 -7y = 20 + -34 Combine like terms: 20 + -34 = -14 -7y = -14 Divide each side by '-7'. y = 2 Simplifying y = 2
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