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Simplifying 4(3y + 3) + -1(5 + -1y) = 20 Reorder the terms: 4(3 + 3y) + -1(5 + -1y) = 20 (3 * 4 + 3y * 4) + -1(5 + -1y) = 20 (12 + 12y) + -1(5 + -1y) = 20 12 + 12y + (5 * -1 + -1y * -1) = 20 12 + 12y + (-5 + 1y) = 20 Reorder the terms: 12 + -5 + 12y + 1y = 20 Combine like terms: 12 + -5 = 7 7 + 12y + 1y = 20 Combine like terms: 12y + 1y = 13y 7 + 13y = 20 Solving 7 + 13y = 20 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 13y = 20 + -7 Combine like terms: 7 + -7 = 0 0 + 13y = 20 + -7 13y = 20 + -7 Combine like terms: 20 + -7 = 13 13y = 13 Divide each side by '13'. y = 1 Simplifying y = 1
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