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Simplifying (6y + -9) + -1(4y + -10) = 0 Reorder the terms: (-9 + 6y) + -1(4y + -10) = 0 Remove parenthesis around (-9 + 6y) -9 + 6y + -1(4y + -10) = 0 Reorder the terms: -9 + 6y + -1(-10 + 4y) = 0 -9 + 6y + (-10 * -1 + 4y * -1) = 0 -9 + 6y + (10 + -4y) = 0 Reorder the terms: -9 + 10 + 6y + -4y = 0 Combine like terms: -9 + 10 = 1 1 + 6y + -4y = 0 Combine like terms: 6y + -4y = 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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