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Simplifying 4y + 34 = 2(y + 9) Reorder the terms: 34 + 4y = 2(y + 9) Reorder the terms: 34 + 4y = 2(9 + y) 34 + 4y = (9 * 2 + y * 2) 34 + 4y = (18 + 2y) Solving 34 + 4y = 18 + 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 + 4y + -2y = 18 + 2y + -2y Combine like terms: 4y + -2y = 2y 34 + 2y = 18 + 2y + -2y Combine like terms: 2y + -2y = 0 34 + 2y = 18 + 0 34 + 2y = 18 Add '-34' to each side of the equation. 34 + -34 + 2y = 18 + -34 Combine like terms: 34 + -34 = 0 0 + 2y = 18 + -34 2y = 18 + -34 Combine like terms: 18 + -34 = -16 2y = -16 Divide each side by '2'. y = -8 Simplifying y = -8
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