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Simplifying 20(y + 3) = 4(3y + 5) Reorder the terms: 20(3 + y) = 4(3y + 5) (3 * 20 + y * 20) = 4(3y + 5) (60 + 20y) = 4(3y + 5) Reorder the terms: 60 + 20y = 4(5 + 3y) 60 + 20y = (5 * 4 + 3y * 4) 60 + 20y = (20 + 12y) Solving 60 + 20y = 20 + 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. 60 + 20y + -12y = 20 + 12y + -12y Combine like terms: 20y + -12y = 8y 60 + 8y = 20 + 12y + -12y Combine like terms: 12y + -12y = 0 60 + 8y = 20 + 0 60 + 8y = 20 Add '-60' to each side of the equation. 60 + -60 + 8y = 20 + -60 Combine like terms: 60 + -60 = 0 0 + 8y = 20 + -60 8y = 20 + -60 Combine like terms: 20 + -60 = -40 8y = -40 Divide each side by '8'. y = -5 Simplifying y = -5
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