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Simplifying 4(3y + 4) + 13 = 5y + 12 Reorder the terms: 4(4 + 3y) + 13 = 5y + 12 (4 * 4 + 3y * 4) + 13 = 5y + 12 (16 + 12y) + 13 = 5y + 12 Reorder the terms: 16 + 13 + 12y = 5y + 12 Combine like terms: 16 + 13 = 29 29 + 12y = 5y + 12 Reorder the terms: 29 + 12y = 12 + 5y Solving 29 + 12y = 12 + 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. 29 + 12y + -5y = 12 + 5y + -5y Combine like terms: 12y + -5y = 7y 29 + 7y = 12 + 5y + -5y Combine like terms: 5y + -5y = 0 29 + 7y = 12 + 0 29 + 7y = 12 Add '-29' to each side of the equation. 29 + -29 + 7y = 12 + -29 Combine like terms: 29 + -29 = 0 0 + 7y = 12 + -29 7y = 12 + -29 Combine like terms: 12 + -29 = -17 7y = -17 Divide each side by '7'. y = -2.428571429 Simplifying y = -2.428571429
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