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Simplifying -7(y + -6) = 8 + -6y Reorder the terms: -7(-6 + y) = 8 + -6y (-6 * -7 + y * -7) = 8 + -6y (42 + -7y) = 8 + -6y Solving 42 + -7y = 8 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 42 + -7y + 6y = 8 + -6y + 6y Combine like terms: -7y + 6y = -1y 42 + -1y = 8 + -6y + 6y Combine like terms: -6y + 6y = 0 42 + -1y = 8 + 0 42 + -1y = 8 Add '-42' to each side of the equation. 42 + -42 + -1y = 8 + -42 Combine like terms: 42 + -42 = 0 0 + -1y = 8 + -42 -1y = 8 + -42 Combine like terms: 8 + -42 = -34 -1y = -34 Divide each side by '-1'. y = 34 Simplifying y = 34
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