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Simplifying 6(y + 7) + -8y = 34 Reorder the terms: 6(7 + y) + -8y = 34 (7 * 6 + y * 6) + -8y = 34 (42 + 6y) + -8y = 34 Combine like terms: 6y + -8y = -2y 42 + -2y = 34 Solving 42 + -2y = 34 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -2y = 34 + -42 Combine like terms: 42 + -42 = 0 0 + -2y = 34 + -42 -2y = 34 + -42 Combine like terms: 34 + -42 = -8 -2y = -8 Divide each side by '-2'. y = 4 Simplifying y = 4
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