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Simplifying 4(y + 4) + y = 3(y + 2) + -4 Reorder the terms: 4(4 + y) + y = 3(y + 2) + -4 (4 * 4 + y * 4) + y = 3(y + 2) + -4 (16 + 4y) + y = 3(y + 2) + -4 Combine like terms: 4y + y = 5y 16 + 5y = 3(y + 2) + -4 Reorder the terms: 16 + 5y = 3(2 + y) + -4 16 + 5y = (2 * 3 + y * 3) + -4 16 + 5y = (6 + 3y) + -4 Reorder the terms: 16 + 5y = 6 + -4 + 3y Combine like terms: 6 + -4 = 2 16 + 5y = 2 + 3y Solving 16 + 5y = 2 + 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. 16 + 5y + -3y = 2 + 3y + -3y Combine like terms: 5y + -3y = 2y 16 + 2y = 2 + 3y + -3y Combine like terms: 3y + -3y = 0 16 + 2y = 2 + 0 16 + 2y = 2 Add '-16' to each side of the equation. 16 + -16 + 2y = 2 + -16 Combine like terms: 16 + -16 = 0 0 + 2y = 2 + -16 2y = 2 + -16 Combine like terms: 2 + -16 = -14 2y = -14 Divide each side by '2'. y = -7 Simplifying y = -7
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