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Simplifying 6(6 + -7y) + 7 = 34 (6 * 6 + -7y * 6) + 7 = 34 (36 + -42y) + 7 = 34 Reorder the terms: 36 + 7 + -42y = 34 Combine like terms: 36 + 7 = 43 43 + -42y = 34 Solving 43 + -42y = 34 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + -42y = 34 + -43 Combine like terms: 43 + -43 = 0 0 + -42y = 34 + -43 -42y = 34 + -43 Combine like terms: 34 + -43 = -9 -42y = -9 Divide each side by '-42'. y = 0.2142857143 Simplifying y = 0.2142857143
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