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Simplifying 4(y + 3) + -7(y + -2) = 24 Reorder the terms: 4(3 + y) + -7(y + -2) = 24 (3 * 4 + y * 4) + -7(y + -2) = 24 (12 + 4y) + -7(y + -2) = 24 Reorder the terms: 12 + 4y + -7(-2 + y) = 24 12 + 4y + (-2 * -7 + y * -7) = 24 12 + 4y + (14 + -7y) = 24 Reorder the terms: 12 + 14 + 4y + -7y = 24 Combine like terms: 12 + 14 = 26 26 + 4y + -7y = 24 Combine like terms: 4y + -7y = -3y 26 + -3y = 24 Solving 26 + -3y = 24 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -3y = 24 + -26 Combine like terms: 26 + -26 = 0 0 + -3y = 24 + -26 -3y = 24 + -26 Combine like terms: 24 + -26 = -2 -3y = -2 Divide each side by '-3'. y = 0.6666666667 Simplifying y = 0.6666666667
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