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Simplifying 5(3y + 1) = 3(4y + 2) Reorder the terms: 5(1 + 3y) = 3(4y + 2) (1 * 5 + 3y * 5) = 3(4y + 2) (5 + 15y) = 3(4y + 2) Reorder the terms: 5 + 15y = 3(2 + 4y) 5 + 15y = (2 * 3 + 4y * 3) 5 + 15y = (6 + 12y) Solving 5 + 15y = 6 + 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. 5 + 15y + -12y = 6 + 12y + -12y Combine like terms: 15y + -12y = 3y 5 + 3y = 6 + 12y + -12y Combine like terms: 12y + -12y = 0 5 + 3y = 6 + 0 5 + 3y = 6 Add '-5' to each side of the equation. 5 + -5 + 3y = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 3y = 6 + -5 3y = 6 + -5 Combine like terms: 6 + -5 = 1 3y = 1 Divide each side by '3'. y = 0.3333333333 Simplifying y = 0.3333333333
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