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Simplifying 7(y + 8) = -6(2y + -7) + y Reorder the terms: 7(8 + y) = -6(2y + -7) + y (8 * 7 + y * 7) = -6(2y + -7) + y (56 + 7y) = -6(2y + -7) + y Reorder the terms: 56 + 7y = -6(-7 + 2y) + y 56 + 7y = (-7 * -6 + 2y * -6) + y 56 + 7y = (42 + -12y) + y Combine like terms: -12y + y = -11y 56 + 7y = 42 + -11y Solving 56 + 7y = 42 + -11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '11y' to each side of the equation. 56 + 7y + 11y = 42 + -11y + 11y Combine like terms: 7y + 11y = 18y 56 + 18y = 42 + -11y + 11y Combine like terms: -11y + 11y = 0 56 + 18y = 42 + 0 56 + 18y = 42 Add '-56' to each side of the equation. 56 + -56 + 18y = 42 + -56 Combine like terms: 56 + -56 = 0 0 + 18y = 42 + -56 18y = 42 + -56 Combine like terms: 42 + -56 = -14 18y = -14 Divide each side by '18'. y = -0.7777777778 Simplifying y = -0.7777777778
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