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Simplifying 4(5 + y) = 3(3 + y) (5 * 4 + y * 4) = 3(3 + y) (20 + 4y) = 3(3 + y) 20 + 4y = (3 * 3 + y * 3) 20 + 4y = (9 + 3y) Solving 20 + 4y = 9 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 20 + 4y + -3y = 9 + 3y + -3y Combine like terms: 4y + -3y = 1y 20 + 1y = 9 + 3y + -3y Combine like terms: 3y + -3y = 0 20 + 1y = 9 + 0 20 + 1y = 9 Add '-20' to each side of the equation. 20 + -20 + 1y = 9 + -20 Combine like terms: 20 + -20 = 0 0 + 1y = 9 + -20 1y = 9 + -20 Combine like terms: 9 + -20 = -11 1y = -11 Divide each side by '1'. y = -11 Simplifying y = -11
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