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Simplifying 34 = 4(y + 7) + -6y Reorder the terms: 34 = 4(7 + y) + -6y 34 = (7 * 4 + y * 4) + -6y 34 = (28 + 4y) + -6y Combine like terms: 4y + -6y = -2y 34 = 28 + -2y Solving 34 = 28 + -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 = 28 + -2y + 2y Combine like terms: -2y + 2y = 0 34 + 2y = 28 + 0 34 + 2y = 28 Add '-34' to each side of the equation. 34 + -34 + 2y = 28 + -34 Combine like terms: 34 + -34 = 0 0 + 2y = 28 + -34 2y = 28 + -34 Combine like terms: 28 + -34 = -6 2y = -6 Divide each side by '2'. y = -3 Simplifying y = -3
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