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Simplifying 2(3y + 4) + -14 = 3(y + 4) Reorder the terms: 2(4 + 3y) + -14 = 3(y + 4) (4 * 2 + 3y * 2) + -14 = 3(y + 4) (8 + 6y) + -14 = 3(y + 4) Reorder the terms: 8 + -14 + 6y = 3(y + 4) Combine like terms: 8 + -14 = -6 -6 + 6y = 3(y + 4) Reorder the terms: -6 + 6y = 3(4 + y) -6 + 6y = (4 * 3 + y * 3) -6 + 6y = (12 + 3y) Solving -6 + 6y = 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. -6 + 6y + -3y = 12 + 3y + -3y Combine like terms: 6y + -3y = 3y -6 + 3y = 12 + 3y + -3y Combine like terms: 3y + -3y = 0 -6 + 3y = 12 + 0 -6 + 3y = 12 Add '6' to each side of the equation. -6 + 6 + 3y = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 3y = 12 + 6 3y = 12 + 6 Combine like terms: 12 + 6 = 18 3y = 18 Divide each side by '3'. y = 6 Simplifying y = 6
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