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Simplifying 2(5y + 2) + -1(7y + 9) = 0 Reorder the terms: 2(2 + 5y) + -1(7y + 9) = 0 (2 * 2 + 5y * 2) + -1(7y + 9) = 0 (4 + 10y) + -1(7y + 9) = 0 Reorder the terms: 4 + 10y + -1(9 + 7y) = 0 4 + 10y + (9 * -1 + 7y * -1) = 0 4 + 10y + (-9 + -7y) = 0 Reorder the terms: 4 + -9 + 10y + -7y = 0 Combine like terms: 4 + -9 = -5 -5 + 10y + -7y = 0 Combine like terms: 10y + -7y = 3y -5 + 3y = 0 Solving -5 + 3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3y = 0 + 5 3y = 0 + 5 Combine like terms: 0 + 5 = 5 3y = 5 Divide each side by '3'. y = 1.666666667 Simplifying y = 1.666666667
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