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Simplifying 6(y + 3) + 2(4 + -1y) = 5y Reorder the terms: 6(3 + y) + 2(4 + -1y) = 5y (3 * 6 + y * 6) + 2(4 + -1y) = 5y (18 + 6y) + 2(4 + -1y) = 5y 18 + 6y + (4 * 2 + -1y * 2) = 5y 18 + 6y + (8 + -2y) = 5y Reorder the terms: 18 + 8 + 6y + -2y = 5y Combine like terms: 18 + 8 = 26 26 + 6y + -2y = 5y Combine like terms: 6y + -2y = 4y 26 + 4y = 5y Solving 26 + 4y = 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. 26 + 4y + -5y = 5y + -5y Combine like terms: 4y + -5y = -1y 26 + -1y = 5y + -5y Combine like terms: 5y + -5y = 0 26 + -1y = 0 Add '-26' to each side of the equation. 26 + -26 + -1y = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -1y = 0 + -26 -1y = 0 + -26 Combine like terms: 0 + -26 = -26 -1y = -26 Divide each side by '-1'. y = 26 Simplifying y = 26
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