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Simplifying 4(y + -5) = 5(y + 3) + -9 Reorder the terms: 4(-5 + y) = 5(y + 3) + -9 (-5 * 4 + y * 4) = 5(y + 3) + -9 (-20 + 4y) = 5(y + 3) + -9 Reorder the terms: -20 + 4y = 5(3 + y) + -9 -20 + 4y = (3 * 5 + y * 5) + -9 -20 + 4y = (15 + 5y) + -9 Reorder the terms: -20 + 4y = 15 + -9 + 5y Combine like terms: 15 + -9 = 6 -20 + 4y = 6 + 5y Solving -20 + 4y = 6 + 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. -20 + 4y + -5y = 6 + 5y + -5y Combine like terms: 4y + -5y = -1y -20 + -1y = 6 + 5y + -5y Combine like terms: 5y + -5y = 0 -20 + -1y = 6 + 0 -20 + -1y = 6 Add '20' to each side of the equation. -20 + 20 + -1y = 6 + 20 Combine like terms: -20 + 20 = 0 0 + -1y = 6 + 20 -1y = 6 + 20 Combine like terms: 6 + 20 = 26 -1y = 26 Divide each side by '-1'. y = -26 Simplifying y = -26
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