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Simplifying 6(y + 3) = y + 3(4 + -1y) Reorder the terms: 6(3 + y) = y + 3(4 + -1y) (3 * 6 + y * 6) = y + 3(4 + -1y) (18 + 6y) = y + 3(4 + -1y) 18 + 6y = y + (4 * 3 + -1y * 3) 18 + 6y = y + (12 + -3y) Reorder the terms: 18 + 6y = 12 + y + -3y Combine like terms: y + -3y = -2y 18 + 6y = 12 + -2y Solving 18 + 6y = 12 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 18 + 6y + 2y = 12 + -2y + 2y Combine like terms: 6y + 2y = 8y 18 + 8y = 12 + -2y + 2y Combine like terms: -2y + 2y = 0 18 + 8y = 12 + 0 18 + 8y = 12 Add '-18' to each side of the equation. 18 + -18 + 8y = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 8y = 12 + -18 8y = 12 + -18 Combine like terms: 12 + -18 = -6 8y = -6 Divide each side by '8'. y = -0.75 Simplifying y = -0.75
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