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Simplifying 5(3y + 4) = 4(3y + 20) Reorder the terms: 5(4 + 3y) = 4(3y + 20) (4 * 5 + 3y * 5) = 4(3y + 20) (20 + 15y) = 4(3y + 20) Reorder the terms: 20 + 15y = 4(20 + 3y) 20 + 15y = (20 * 4 + 3y * 4) 20 + 15y = (80 + 12y) Solving 20 + 15y = 80 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 20 + 15y + -12y = 80 + 12y + -12y Combine like terms: 15y + -12y = 3y 20 + 3y = 80 + 12y + -12y Combine like terms: 12y + -12y = 0 20 + 3y = 80 + 0 20 + 3y = 80 Add '-20' to each side of the equation. 20 + -20 + 3y = 80 + -20 Combine like terms: 20 + -20 = 0 0 + 3y = 80 + -20 3y = 80 + -20 Combine like terms: 80 + -20 = 60 3y = 60 Divide each side by '3'. y = 20 Simplifying y = 20
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