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Simplifying 34 = -6y + 4(y + 8) Reorder the terms: 34 = -6y + 4(8 + y) 34 = -6y + (8 * 4 + y * 4) 34 = -6y + (32 + 4y) Reorder the terms: 34 = 32 + -6y + 4y Combine like terms: -6y + 4y = -2y 34 = 32 + -2y Solving 34 = 32 + -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 + 2y = 32 + -2y + 2y Combine like terms: -2y + 2y = 0 34 + 2y = 32 + 0 34 + 2y = 32 Add '-34' to each side of the equation. 34 + -34 + 2y = 32 + -34 Combine like terms: 34 + -34 = 0 0 + 2y = 32 + -34 2y = 32 + -34 Combine like terms: 32 + -34 = -2 2y = -2 Divide each side by '2'. y = -1 Simplifying y = -1
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