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Simplifying 3(4y + 4) = 3y + 48 Reorder the terms: 3(4 + 4y) = 3y + 48 (4 * 3 + 4y * 3) = 3y + 48 (12 + 12y) = 3y + 48 Reorder the terms: 12 + 12y = 48 + 3y Solving 12 + 12y = 48 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 12 + 12y + -3y = 48 + 3y + -3y Combine like terms: 12y + -3y = 9y 12 + 9y = 48 + 3y + -3y Combine like terms: 3y + -3y = 0 12 + 9y = 48 + 0 12 + 9y = 48 Add '-12' to each side of the equation. 12 + -12 + 9y = 48 + -12 Combine like terms: 12 + -12 = 0 0 + 9y = 48 + -12 9y = 48 + -12 Combine like terms: 48 + -12 = 36 9y = 36 Divide each side by '9'. y = 4 Simplifying y = 4
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