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Simplifying 7(y + -8) + 27 = y + -6 Reorder the terms: 7(-8 + y) + 27 = y + -6 (-8 * 7 + y * 7) + 27 = y + -6 (-56 + 7y) + 27 = y + -6 Reorder the terms: -56 + 27 + 7y = y + -6 Combine like terms: -56 + 27 = -29 -29 + 7y = y + -6 Reorder the terms: -29 + 7y = -6 + y Solving -29 + 7y = -6 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -29 + 7y + -1y = -6 + y + -1y Combine like terms: 7y + -1y = 6y -29 + 6y = -6 + y + -1y Combine like terms: y + -1y = 0 -29 + 6y = -6 + 0 -29 + 6y = -6 Add '29' to each side of the equation. -29 + 29 + 6y = -6 + 29 Combine like terms: -29 + 29 = 0 0 + 6y = -6 + 29 6y = -6 + 29 Combine like terms: -6 + 29 = 23 6y = 23 Divide each side by '6'. y = 3.833333333 Simplifying y = 3.833333333
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