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Simplifying 6y + 34 = 2(y + 7) Reorder the terms: 34 + 6y = 2(y + 7) Reorder the terms: 34 + 6y = 2(7 + y) 34 + 6y = (7 * 2 + y * 2) 34 + 6y = (14 + 2y) Solving 34 + 6y = 14 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 34 + 6y + -2y = 14 + 2y + -2y Combine like terms: 6y + -2y = 4y 34 + 4y = 14 + 2y + -2y Combine like terms: 2y + -2y = 0 34 + 4y = 14 + 0 34 + 4y = 14 Add '-34' to each side of the equation. 34 + -34 + 4y = 14 + -34 Combine like terms: 34 + -34 = 0 0 + 4y = 14 + -34 4y = 14 + -34 Combine like terms: 14 + -34 = -20 4y = -20 Divide each side by '4'. y = -5 Simplifying y = -5
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