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Simplifying 14 = 3(y + 2) + -1(y + -4) Reorder the terms: 14 = 3(2 + y) + -1(y + -4) 14 = (2 * 3 + y * 3) + -1(y + -4) 14 = (6 + 3y) + -1(y + -4) Reorder the terms: 14 = 6 + 3y + -1(-4 + y) 14 = 6 + 3y + (-4 * -1 + y * -1) 14 = 6 + 3y + (4 + -1y) Reorder the terms: 14 = 6 + 4 + 3y + -1y Combine like terms: 6 + 4 = 10 14 = 10 + 3y + -1y Combine like terms: 3y + -1y = 2y 14 = 10 + 2y Solving 14 = 10 + 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. 14 + -2y = 10 + 2y + -2y Combine like terms: 2y + -2y = 0 14 + -2y = 10 + 0 14 + -2y = 10 Add '-14' to each side of the equation. 14 + -14 + -2y = 10 + -14 Combine like terms: 14 + -14 = 0 0 + -2y = 10 + -14 -2y = 10 + -14 Combine like terms: 10 + -14 = -4 -2y = -4 Divide each side by '-2'. y = 2 Simplifying y = 2
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