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Simplifying 3(y + -4) + -1(y + 2) = 14 Reorder the terms: 3(-4 + y) + -1(y + 2) = 14 (-4 * 3 + y * 3) + -1(y + 2) = 14 (-12 + 3y) + -1(y + 2) = 14 Reorder the terms: -12 + 3y + -1(2 + y) = 14 -12 + 3y + (2 * -1 + y * -1) = 14 -12 + 3y + (-2 + -1y) = 14 Reorder the terms: -12 + -2 + 3y + -1y = 14 Combine like terms: -12 + -2 = -14 -14 + 3y + -1y = 14 Combine like terms: 3y + -1y = 2y -14 + 2y = 14 Solving -14 + 2y = 14 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 2y = 14 + 14 Combine like terms: -14 + 14 = 0 0 + 2y = 14 + 14 2y = 14 + 14 Combine like terms: 14 + 14 = 28 2y = 28 Divide each side by '2'. y = 14 Simplifying y = 14
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