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Simplifying 7(4y + -5) + (3y + 4) = 0 Reorder the terms: 7(-5 + 4y) + (3y + 4) = 0 (-5 * 7 + 4y * 7) + (3y + 4) = 0 (-35 + 28y) + (3y + 4) = 0 Reorder the terms: -35 + 28y + (4 + 3y) = 0 Remove parenthesis around (4 + 3y) -35 + 28y + 4 + 3y = 0 Reorder the terms: -35 + 4 + 28y + 3y = 0 Combine like terms: -35 + 4 = -31 -31 + 28y + 3y = 0 Combine like terms: 28y + 3y = 31y -31 + 31y = 0 Solving -31 + 31y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 31y = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 31y = 0 + 31 31y = 0 + 31 Combine like terms: 0 + 31 = 31 31y = 31 Divide each side by '31'. y = 1 Simplifying y = 1
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