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Simplifying 7(y + -7) = 6(2 + y) Reorder the terms: 7(-7 + y) = 6(2 + y) (-7 * 7 + y * 7) = 6(2 + y) (-49 + 7y) = 6(2 + y) -49 + 7y = (2 * 6 + y * 6) -49 + 7y = (12 + 6y) Solving -49 + 7y = 12 + 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 = 12 + 6y + -6y Combine like terms: 7y + -6y = 1y -49 + 1y = 12 + 6y + -6y Combine like terms: 6y + -6y = 0 -49 + 1y = 12 + 0 -49 + 1y = 12 Add '49' to each side of the equation. -49 + 49 + 1y = 12 + 49 Combine like terms: -49 + 49 = 0 0 + 1y = 12 + 49 1y = 12 + 49 Combine like terms: 12 + 49 = 61 1y = 61 Divide each side by '1'. y = 61 Simplifying y = 61
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