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Simplifying 4(y + 6) + 2y = 5y + -2 Reorder the terms: 4(6 + y) + 2y = 5y + -2 (6 * 4 + y * 4) + 2y = 5y + -2 (24 + 4y) + 2y = 5y + -2 Combine like terms: 4y + 2y = 6y 24 + 6y = 5y + -2 Reorder the terms: 24 + 6y = -2 + 5y Solving 24 + 6y = -2 + 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. 24 + 6y + -5y = -2 + 5y + -5y Combine like terms: 6y + -5y = 1y 24 + 1y = -2 + 5y + -5y Combine like terms: 5y + -5y = 0 24 + 1y = -2 + 0 24 + 1y = -2 Add '-24' to each side of the equation. 24 + -24 + 1y = -2 + -24 Combine like terms: 24 + -24 = 0 0 + 1y = -2 + -24 1y = -2 + -24 Combine like terms: -2 + -24 = -26 1y = -26 Divide each side by '1'. y = -26 Simplifying y = -26
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