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Simplifying 20 + -1(y + -4) = 3(y + 4) + -9(y + 4) Reorder the terms: 20 + -1(-4 + y) = 3(y + 4) + -9(y + 4) 20 + (-4 * -1 + y * -1) = 3(y + 4) + -9(y + 4) 20 + (4 + -1y) = 3(y + 4) + -9(y + 4) Combine like terms: 20 + 4 = 24 24 + -1y = 3(y + 4) + -9(y + 4) Reorder the terms: 24 + -1y = 3(4 + y) + -9(y + 4) 24 + -1y = (4 * 3 + y * 3) + -9(y + 4) 24 + -1y = (12 + 3y) + -9(y + 4) Reorder the terms: 24 + -1y = 12 + 3y + -9(4 + y) 24 + -1y = 12 + 3y + (4 * -9 + y * -9) 24 + -1y = 12 + 3y + (-36 + -9y) Reorder the terms: 24 + -1y = 12 + -36 + 3y + -9y Combine like terms: 12 + -36 = -24 24 + -1y = -24 + 3y + -9y Combine like terms: 3y + -9y = -6y 24 + -1y = -24 + -6y Solving 24 + -1y = -24 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 24 + -1y + 6y = -24 + -6y + 6y Combine like terms: -1y + 6y = 5y 24 + 5y = -24 + -6y + 6y Combine like terms: -6y + 6y = 0 24 + 5y = -24 + 0 24 + 5y = -24 Add '-24' to each side of the equation. 24 + -24 + 5y = -24 + -24 Combine like terms: 24 + -24 = 0 0 + 5y = -24 + -24 5y = -24 + -24 Combine like terms: -24 + -24 = -48 5y = -48 Divide each side by '5'. y = -9.6 Simplifying y = -9.6
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