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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 = -79 -79 + -20 + 13y + 3y + -5y = 0 Combine like terms: -79 + -20 = -99 -99 + 13y + 3y + -5y = 0 Combine like terms: 13y + 3y = 16y -99 + 16y + -5y = 0 Combine like terms: 16y + -5y = 11y -99 + 11y = 0 Solving -99 + 11y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '99' to each side of the equation. -99 + 99 + 11y = 0 + 99 Combine like terms: -99 + 99 = 0 0 + 11y = 0 + 99 11y = 0 + 99 Combine like terms: 0 + 99 = 99 11y = 99 Divide each side by '11'. y = 9 Simplifying y = 9
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