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