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Simplifying 5(2y + -4) + 2(y + 9) = 0 Reorder the terms: 5(-4 + 2y) + 2(y + 9) = 0 (-4 * 5 + 2y * 5) + 2(y + 9) = 0 (-20 + 10y) + 2(y + 9) = 0 Reorder the terms: -20 + 10y + 2(9 + y) = 0 -20 + 10y + (9 * 2 + y * 2) = 0 -20 + 10y + (18 + 2y) = 0 Reorder the terms: -20 + 18 + 10y + 2y = 0 Combine like terms: -20 + 18 = -2 -2 + 10y + 2y = 0 Combine like terms: 10y + 2y = 12y -2 + 12y = 0 Solving -2 + 12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 12y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 12y = 0 + 2 12y = 0 + 2 Combine like terms: 0 + 2 = 2 12y = 2 Divide each side by '12'. y = 0.1666666667 Simplifying y = 0.1666666667
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