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Simplifying 4(3y + 5) = 5y + 48 Reorder the terms: 4(5 + 3y) = 5y + 48 (5 * 4 + 3y * 4) = 5y + 48 (20 + 12y) = 5y + 48 Reorder the terms: 20 + 12y = 48 + 5y Solving 20 + 12y = 48 + 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. 20 + 12y + -5y = 48 + 5y + -5y Combine like terms: 12y + -5y = 7y 20 + 7y = 48 + 5y + -5y Combine like terms: 5y + -5y = 0 20 + 7y = 48 + 0 20 + 7y = 48 Add '-20' to each side of the equation. 20 + -20 + 7y = 48 + -20 Combine like terms: 20 + -20 = 0 0 + 7y = 48 + -20 7y = 48 + -20 Combine like terms: 48 + -20 = 28 7y = 28 Divide each side by '7'. y = 4 Simplifying y = 4
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