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Simplifying 4(y + 6) + y = 3(y + 2) + -8 Reorder the terms: 4(6 + y) + y = 3(y + 2) + -8 (6 * 4 + y * 4) + y = 3(y + 2) + -8 (24 + 4y) + y = 3(y + 2) + -8 Combine like terms: 4y + y = 5y 24 + 5y = 3(y + 2) + -8 Reorder the terms: 24 + 5y = 3(2 + y) + -8 24 + 5y = (2 * 3 + y * 3) + -8 24 + 5y = (6 + 3y) + -8 Reorder the terms: 24 + 5y = 6 + -8 + 3y Combine like terms: 6 + -8 = -2 24 + 5y = -2 + 3y Solving 24 + 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. 24 + 5y + -3y = -2 + 3y + -3y Combine like terms: 5y + -3y = 2y 24 + 2y = -2 + 3y + -3y Combine like terms: 3y + -3y = 0 24 + 2y = -2 + 0 24 + 2y = -2 Add '-24' to each side of the equation. 24 + -24 + 2y = -2 + -24 Combine like terms: 24 + -24 = 0 0 + 2y = -2 + -24 2y = -2 + -24 Combine like terms: -2 + -24 = -26 2y = -26 Divide each side by '2'. y = -13 Simplifying y = -13
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