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Simplifying (7y + -7) + -1(-3y + 2) = 71 Reorder the terms: (-7 + 7y) + -1(-3y + 2) = 71 Remove parenthesis around (-7 + 7y) -7 + 7y + -1(-3y + 2) = 71 Reorder the terms: -7 + 7y + -1(2 + -3y) = 71 -7 + 7y + (2 * -1 + -3y * -1) = 71 -7 + 7y + (-2 + 3y) = 71 Reorder the terms: -7 + -2 + 7y + 3y = 71 Combine like terms: -7 + -2 = -9 -9 + 7y + 3y = 71 Combine like terms: 7y + 3y = 10y -9 + 10y = 71 Solving -9 + 10y = 71 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 10y = 71 + 9 Combine like terms: -9 + 9 = 0 0 + 10y = 71 + 9 10y = 71 + 9 Combine like terms: 71 + 9 = 80 10y = 80 Divide each side by '10'. y = 8 Simplifying y = 8
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