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Simplifying (5y + 1) + -1(7y + 2) = 0 Reorder the terms: (1 + 5y) + -1(7y + 2) = 0 Remove parenthesis around (1 + 5y) 1 + 5y + -1(7y + 2) = 0 Reorder the terms: 1 + 5y + -1(2 + 7y) = 0 1 + 5y + (2 * -1 + 7y * -1) = 0 1 + 5y + (-2 + -7y) = 0 Reorder the terms: 1 + -2 + 5y + -7y = 0 Combine like terms: 1 + -2 = -1 -1 + 5y + -7y = 0 Combine like terms: 5y + -7y = -2y -1 + -2y = 0 Solving -1 + -2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2y = 0 + 1 -2y = 0 + 1 Combine like terms: 0 + 1 = 1 -2y = 1 Divide each side by '-2'. y = -0.5 Simplifying y = -0.5
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