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Simplifying 7(y + -7) = 6y + -1 Reorder the terms: 7(-7 + y) = 6y + -1 (-7 * 7 + y * 7) = 6y + -1 (-49 + 7y) = 6y + -1 Reorder the terms: -49 + 7y = -1 + 6y Solving -49 + 7y = -1 + 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. -49 + 7y + -6y = -1 + 6y + -6y Combine like terms: 7y + -6y = 1y -49 + 1y = -1 + 6y + -6y Combine like terms: 6y + -6y = 0 -49 + 1y = -1 + 0 -49 + 1y = -1 Add '49' to each side of the equation. -49 + 49 + 1y = -1 + 49 Combine like terms: -49 + 49 = 0 0 + 1y = -1 + 49 1y = -1 + 49 Combine like terms: -1 + 49 = 48 1y = 48 Divide each side by '1'. y = 48 Simplifying y = 48
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