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Simplifying 3y + 4(2y + 1) + -1(5y + -1 + -5) = 9 Reorder the terms: 3y + 4(1 + 2y) + -1(5y + -1 + -5) = 9 3y + (1 * 4 + 2y * 4) + -1(5y + -1 + -5) = 9 3y + (4 + 8y) + -1(5y + -1 + -5) = 9 Reorder the terms: 3y + 4 + 8y + -1(-1 + -5 + 5y) = 9 Combine like terms: -1 + -5 = -6 3y + 4 + 8y + -1(-6 + 5y) = 9 3y + 4 + 8y + (-6 * -1 + 5y * -1) = 9 3y + 4 + 8y + (6 + -5y) = 9 Reorder the terms: 4 + 6 + 3y + 8y + -5y = 9 Combine like terms: 4 + 6 = 10 10 + 3y + 8y + -5y = 9 Combine like terms: 3y + 8y = 11y 10 + 11y + -5y = 9 Combine like terms: 11y + -5y = 6y 10 + 6y = 9 Solving 10 + 6y = 9 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 + 6y = 9 + -10 Combine like terms: 10 + -10 = 0 0 + 6y = 9 + -10 6y = 9 + -10 Combine like terms: 9 + -10 = -1 6y = -1 Divide each side by '6'. y = -0.1666666667 Simplifying y = -0.1666666667
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