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Simplifying 30 = 7(y + -5) + 6 Reorder the terms: 30 = 7(-5 + y) + 6 30 = (-5 * 7 + y * 7) + 6 30 = (-35 + 7y) + 6 Reorder the terms: 30 = -35 + 6 + 7y Combine like terms: -35 + 6 = -29 30 = -29 + 7y Solving 30 = -29 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 30 + -7y = -29 + 7y + -7y Combine like terms: 7y + -7y = 0 30 + -7y = -29 + 0 30 + -7y = -29 Add '-30' to each side of the equation. 30 + -30 + -7y = -29 + -30 Combine like terms: 30 + -30 = 0 0 + -7y = -29 + -30 -7y = -29 + -30 Combine like terms: -29 + -30 = -59 -7y = -59 Divide each side by '-7'. y = 8.428571429 Simplifying y = 8.428571429
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