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