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Simplifying 13(y + -4) + -3(y + -9) + -5(y + 4) = 0 Reorder the terms: 13(-4 + y) + -3(y + -9) + -5(y + 4) = 0 (-4 * 13 + y * 13) + -3(y + -9) + -5(y + 4) = 0 (-52 + 13y) + -3(y + -9) + -5(y + 4) = 0 Reorder the terms: -52 + 13y + -3(-9 + y) + -5(y + 4) = 0 -52 + 13y + (-9 * -3 + y * -3) + -5(y + 4) = 0 -52 + 13y + (27 + -3y) + -5(y + 4) = 0 Reorder the terms: -52 + 13y + 27 + -3y + -5(4 + y) = 0 -52 + 13y + 27 + -3y + (4 * -5 + y * -5) = 0 -52 + 13y + 27 + -3y + (-20 + -5y) = 0 Reorder the terms: -52 + 27 + -20 + 13y + -3y + -5y = 0 Combine like terms: -52 + 27 = -25 -25 + -20 + 13y + -3y + -5y = 0 Combine like terms: -25 + -20 = -45 -45 + 13y + -3y + -5y = 0 Combine like terms: 13y + -3y = 10y -45 + 10y + -5y = 0 Combine like terms: 10y + -5y = 5y -45 + 5y = 0 Solving -45 + 5y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 5y = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 5y = 0 + 45 5y = 0 + 45 Combine like terms: 0 + 45 = 45 5y = 45 Divide each side by '5'. y = 9 Simplifying y = 9
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