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Simplifying 34 = 8(y + 5) + -6y Reorder the terms: 34 = 8(5 + y) + -6y 34 = (5 * 8 + y * 8) + -6y 34 = (40 + 8y) + -6y Combine like terms: 8y + -6y = 2y 34 = 40 + 2y Solving 34 = 40 + 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 = 40 + 2y + -2y Combine like terms: 2y + -2y = 0 34 + -2y = 40 + 0 34 + -2y = 40 Add '-34' to each side of the equation. 34 + -34 + -2y = 40 + -34 Combine like terms: 34 + -34 = 0 0 + -2y = 40 + -34 -2y = 40 + -34 Combine like terms: 40 + -34 = 6 -2y = 6 Divide each side by '-2'. y = -3 Simplifying y = -3
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