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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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