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Simplifying (4y + -1) + -1(6y + 9) = 0 Reorder the terms: (-1 + 4y) + -1(6y + 9) = 0 Remove parenthesis around (-1 + 4y) -1 + 4y + -1(6y + 9) = 0 Reorder the terms: -1 + 4y + -1(9 + 6y) = 0 -1 + 4y + (9 * -1 + 6y * -1) = 0 -1 + 4y + (-9 + -6y) = 0 Reorder the terms: -1 + -9 + 4y + -6y = 0 Combine like terms: -1 + -9 = -10 -10 + 4y + -6y = 0 Combine like terms: 4y + -6y = -2y -10 + -2y = 0 Solving -10 + -2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -2y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -2y = 0 + 10 -2y = 0 + 10 Combine like terms: 0 + 10 = 10 -2y = 10 Divide each side by '-2'. y = -5 Simplifying y = -5
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