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Simplifying 14 + -2(3y + 1) = 6(4 + y) Reorder the terms: 14 + -2(1 + 3y) = 6(4 + y) 14 + (1 * -2 + 3y * -2) = 6(4 + y) 14 + (-2 + -6y) = 6(4 + y) Combine like terms: 14 + -2 = 12 12 + -6y = 6(4 + y) 12 + -6y = (4 * 6 + y * 6) 12 + -6y = (24 + 6y) Solving 12 + -6y = 24 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 12 + -6y + -6y = 24 + 6y + -6y Combine like terms: -6y + -6y = -12y 12 + -12y = 24 + 6y + -6y Combine like terms: 6y + -6y = 0 12 + -12y = 24 + 0 12 + -12y = 24 Add '-12' to each side of the equation. 12 + -12 + -12y = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -12y = 24 + -12 -12y = 24 + -12 Combine like terms: 24 + -12 = 12 -12y = 12 Divide each side by '-12'. y = -1 Simplifying y = -1
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