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Simplifying 2(5y + 9) + -4(y + 1) = 0 Reorder the terms: 2(9 + 5y) + -4(y + 1) = 0 (9 * 2 + 5y * 2) + -4(y + 1) = 0 (18 + 10y) + -4(y + 1) = 0 Reorder the terms: 18 + 10y + -4(1 + y) = 0 18 + 10y + (1 * -4 + y * -4) = 0 18 + 10y + (-4 + -4y) = 0 Reorder the terms: 18 + -4 + 10y + -4y = 0 Combine like terms: 18 + -4 = 14 14 + 10y + -4y = 0 Combine like terms: 10y + -4y = 6y 14 + 6y = 0 Solving 14 + 6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 6y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 6y = 0 + -14 6y = 0 + -14 Combine like terms: 0 + -14 = -14 6y = -14 Divide each side by '6'. y = -2.333333333 Simplifying y = -2.333333333
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