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Simplifying 2(y + -7) + -1(3y + 4) + 24 = 0 Reorder the terms: 2(-7 + y) + -1(3y + 4) + 24 = 0 (-7 * 2 + y * 2) + -1(3y + 4) + 24 = 0 (-14 + 2y) + -1(3y + 4) + 24 = 0 Reorder the terms: -14 + 2y + -1(4 + 3y) + 24 = 0 -14 + 2y + (4 * -1 + 3y * -1) + 24 = 0 -14 + 2y + (-4 + -3y) + 24 = 0 Reorder the terms: -14 + -4 + 24 + 2y + -3y = 0 Combine like terms: -14 + -4 = -18 -18 + 24 + 2y + -3y = 0 Combine like terms: -18 + 24 = 6 6 + 2y + -3y = 0 Combine like terms: 2y + -3y = -1y 6 + -1y = 0 Solving 6 + -1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1y = 0 + -6 -1y = 0 + -6 Combine like terms: 0 + -6 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6
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