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Simplifying 8(y + -7) = 7y + -2 Reorder the terms: 8(-7 + y) = 7y + -2 (-7 * 8 + y * 8) = 7y + -2 (-56 + 8y) = 7y + -2 Reorder the terms: -56 + 8y = -2 + 7y Solving -56 + 8y = -2 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -56 + 8y + -7y = -2 + 7y + -7y Combine like terms: 8y + -7y = 1y -56 + 1y = -2 + 7y + -7y Combine like terms: 7y + -7y = 0 -56 + 1y = -2 + 0 -56 + 1y = -2 Add '56' to each side of the equation. -56 + 56 + 1y = -2 + 56 Combine like terms: -56 + 56 = 0 0 + 1y = -2 + 56 1y = -2 + 56 Combine like terms: -2 + 56 = 54 1y = 54 Divide each side by '1'. y = 54 Simplifying y = 54
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