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Simplifying (5y + -5) + -1(7y + -7) = 0 Reorder the terms: (-5 + 5y) + -1(7y + -7) = 0 Remove parenthesis around (-5 + 5y) -5 + 5y + -1(7y + -7) = 0 Reorder the terms: -5 + 5y + -1(-7 + 7y) = 0 -5 + 5y + (-7 * -1 + 7y * -1) = 0 -5 + 5y + (7 + -7y) = 0 Reorder the terms: -5 + 7 + 5y + -7y = 0 Combine like terms: -5 + 7 = 2 2 + 5y + -7y = 0 Combine like terms: 5y + -7y = -2y 2 + -2y = 0 Solving 2 + -2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -2y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2y = 0 + -2 -2y = 0 + -2 Combine like terms: 0 + -2 = -2 -2y = -2 Divide each side by '-2'. y = 1 Simplifying y = 1
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