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Simplifying 5(2y + -2) + -1(4y + 9) = 0 Reorder the terms: 5(-2 + 2y) + -1(4y + 9) = 0 (-2 * 5 + 2y * 5) + -1(4y + 9) = 0 (-10 + 10y) + -1(4y + 9) = 0 Reorder the terms: -10 + 10y + -1(9 + 4y) = 0 -10 + 10y + (9 * -1 + 4y * -1) = 0 -10 + 10y + (-9 + -4y) = 0 Reorder the terms: -10 + -9 + 10y + -4y = 0 Combine like terms: -10 + -9 = -19 -19 + 10y + -4y = 0 Combine like terms: 10y + -4y = 6y -19 + 6y = 0 Solving -19 + 6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 6y = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 6y = 0 + 19 6y = 0 + 19 Combine like terms: 0 + 19 = 19 6y = 19 Divide each side by '6'. y = 3.166666667 Simplifying y = 3.166666667
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