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Simplifying (3y + 1) + 7(4y + -1) = 0 Reorder the terms: (1 + 3y) + 7(4y + -1) = 0 Remove parenthesis around (1 + 3y) 1 + 3y + 7(4y + -1) = 0 Reorder the terms: 1 + 3y + 7(-1 + 4y) = 0 1 + 3y + (-1 * 7 + 4y * 7) = 0 1 + 3y + (-7 + 28y) = 0 Reorder the terms: 1 + -7 + 3y + 28y = 0 Combine like terms: 1 + -7 = -6 -6 + 3y + 28y = 0 Combine like terms: 3y + 28y = 31y -6 + 31y = 0 Solving -6 + 31y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 31y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 31y = 0 + 6 31y = 0 + 6 Combine like terms: 0 + 6 = 6 31y = 6 Divide each side by '31'. y = 0.1935483871 Simplifying y = 0.1935483871
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