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Simplifying -7(y + -8) = -6y + -6 Reorder the terms: -7(-8 + y) = -6y + -6 (-8 * -7 + y * -7) = -6y + -6 (56 + -7y) = -6y + -6 Reorder the terms: 56 + -7y = -6 + -6y Solving 56 + -7y = -6 + -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. 56 + -7y + 6y = -6 + -6y + 6y Combine like terms: -7y + 6y = -1y 56 + -1y = -6 + -6y + 6y Combine like terms: -6y + 6y = 0 56 + -1y = -6 + 0 56 + -1y = -6 Add '-56' to each side of the equation. 56 + -56 + -1y = -6 + -56 Combine like terms: 56 + -56 = 0 0 + -1y = -6 + -56 -1y = -6 + -56 Combine like terms: -6 + -56 = -62 -1y = -62 Divide each side by '-1'. y = 62 Simplifying y = 62
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