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Simplifying (3y + -4) + -1(7y + 1) = 0 Reorder the terms: (-4 + 3y) + -1(7y + 1) = 0 Remove parenthesis around (-4 + 3y) -4 + 3y + -1(7y + 1) = 0 Reorder the terms: -4 + 3y + -1(1 + 7y) = 0 -4 + 3y + (1 * -1 + 7y * -1) = 0 -4 + 3y + (-1 + -7y) = 0 Reorder the terms: -4 + -1 + 3y + -7y = 0 Combine like terms: -4 + -1 = -5 -5 + 3y + -7y = 0 Combine like terms: 3y + -7y = -4y -5 + -4y = 0 Solving -5 + -4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -4y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4y = 0 + 5 -4y = 0 + 5 Combine like terms: 0 + 5 = 5 -4y = 5 Divide each side by '-4'. y = -1.25 Simplifying y = -1.25
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