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Simplifying 7(y + -3) + 2(y + 4) = 14 Reorder the terms: 7(-3 + y) + 2(y + 4) = 14 (-3 * 7 + y * 7) + 2(y + 4) = 14 (-21 + 7y) + 2(y + 4) = 14 Reorder the terms: -21 + 7y + 2(4 + y) = 14 -21 + 7y + (4 * 2 + y * 2) = 14 -21 + 7y + (8 + 2y) = 14 Reorder the terms: -21 + 8 + 7y + 2y = 14 Combine like terms: -21 + 8 = -13 -13 + 7y + 2y = 14 Combine like terms: 7y + 2y = 9y -13 + 9y = 14 Solving -13 + 9y = 14 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 9y = 14 + 13 Combine like terms: -13 + 13 = 0 0 + 9y = 14 + 13 9y = 14 + 13 Combine like terms: 14 + 13 = 27 9y = 27 Divide each side by '9'. y = 3 Simplifying y = 3
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