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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 = -5 -5 + 13y + -3y + -5y = 0 Combine like terms: 13y + -3y = 10y -5 + 10y + -5y = 0 Combine like terms: 10y + -5y = 5y -5 + 5y = 0 Solving -5 + 5y = 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 + 5y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 5y = 0 + 5 5y = 0 + 5 Combine like terms: 0 + 5 = 5 5y = 5 Divide each side by '5'. y = 1 Simplifying y = 1
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