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Simplifying 4(2y + 9) + -7y = 34 Reorder the terms: 4(9 + 2y) + -7y = 34 (9 * 4 + 2y * 4) + -7y = 34 (36 + 8y) + -7y = 34 Combine like terms: 8y + -7y = 1y 36 + 1y = 34 Solving 36 + 1y = 34 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 1y = 34 + -36 Combine like terms: 36 + -36 = 0 0 + 1y = 34 + -36 1y = 34 + -36 Combine like terms: 34 + -36 = -2 1y = -2 Divide each side by '1'. y = -2 Simplifying y = -2
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