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Simplifying 5(3y + -9) + -1(5y + 4) = 0 Reorder the terms: 5(-9 + 3y) + -1(5y + 4) = 0 (-9 * 5 + 3y * 5) + -1(5y + 4) = 0 (-45 + 15y) + -1(5y + 4) = 0 Reorder the terms: -45 + 15y + -1(4 + 5y) = 0 -45 + 15y + (4 * -1 + 5y * -1) = 0 -45 + 15y + (-4 + -5y) = 0 Reorder the terms: -45 + -4 + 15y + -5y = 0 Combine like terms: -45 + -4 = -49 -49 + 15y + -5y = 0 Combine like terms: 15y + -5y = 10y -49 + 10y = 0 Solving -49 + 10y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 10y = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 10y = 0 + 49 10y = 0 + 49 Combine like terms: 0 + 49 = 49 10y = 49 Divide each side by '10'. y = 4.9 Simplifying y = 4.9
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