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Simplifying 3(6 + -1y) = 3(y + 4) (6 * 3 + -1y * 3) = 3(y + 4) (18 + -3y) = 3(y + 4) Reorder the terms: 18 + -3y = 3(4 + y) 18 + -3y = (4 * 3 + y * 3) 18 + -3y = (12 + 3y) Solving 18 + -3y = 12 + 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. 18 + -3y + -3y = 12 + 3y + -3y Combine like terms: -3y + -3y = -6y 18 + -6y = 12 + 3y + -3y Combine like terms: 3y + -3y = 0 18 + -6y = 12 + 0 18 + -6y = 12 Add '-18' to each side of the equation. 18 + -18 + -6y = 12 + -18 Combine like terms: 18 + -18 = 0 0 + -6y = 12 + -18 -6y = 12 + -18 Combine like terms: 12 + -18 = -6 -6y = -6 Divide each side by '-6'. y = 1 Simplifying y = 1
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