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Simplifying 4(3y + 4) + -20 = 3 + 5y Reorder the terms: 4(4 + 3y) + -20 = 3 + 5y (4 * 4 + 3y * 4) + -20 = 3 + 5y (16 + 12y) + -20 = 3 + 5y Reorder the terms: 16 + -20 + 12y = 3 + 5y Combine like terms: 16 + -20 = -4 -4 + 12y = 3 + 5y Solving -4 + 12y = 3 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -4 + 12y + -5y = 3 + 5y + -5y Combine like terms: 12y + -5y = 7y -4 + 7y = 3 + 5y + -5y Combine like terms: 5y + -5y = 0 -4 + 7y = 3 + 0 -4 + 7y = 3 Add '4' to each side of the equation. -4 + 4 + 7y = 3 + 4 Combine like terms: -4 + 4 = 0 0 + 7y = 3 + 4 7y = 3 + 4 Combine like terms: 3 + 4 = 7 7y = 7 Divide each side by '7'. y = 1 Simplifying y = 1
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