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Simplifying 5y + -2(4y + -3) = 6y + 9 Reorder the terms: 5y + -2(-3 + 4y) = 6y + 9 5y + (-3 * -2 + 4y * -2) = 6y + 9 5y + (6 + -8y) = 6y + 9 Reorder the terms: 6 + 5y + -8y = 6y + 9 Combine like terms: 5y + -8y = -3y 6 + -3y = 6y + 9 Reorder the terms: 6 + -3y = 9 + 6y Solving 6 + -3y = 9 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 6 + -3y + -6y = 9 + 6y + -6y Combine like terms: -3y + -6y = -9y 6 + -9y = 9 + 6y + -6y Combine like terms: 6y + -6y = 0 6 + -9y = 9 + 0 6 + -9y = 9 Add '-6' to each side of the equation. 6 + -6 + -9y = 9 + -6 Combine like terms: 6 + -6 = 0 0 + -9y = 9 + -6 -9y = 9 + -6 Combine like terms: 9 + -6 = 3 -9y = 3 Divide each side by '-9'. y = -0.3333333333 Simplifying y = -0.3333333333
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