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Simplifying -7(y + 2) = 24 + -5 + 3(2y + 3) Reorder the terms: -7(2 + y) = 24 + -5 + 3(2y + 3) (2 * -7 + y * -7) = 24 + -5 + 3(2y + 3) (-14 + -7y) = 24 + -5 + 3(2y + 3) Reorder the terms: -14 + -7y = 24 + -5 + 3(3 + 2y) -14 + -7y = 24 + -5 + (3 * 3 + 2y * 3) -14 + -7y = 24 + -5 + (9 + 6y) Combine like terms: 24 + -5 = 19 -14 + -7y = 19 + 9 + 6y Combine like terms: 19 + 9 = 28 -14 + -7y = 28 + 6y Solving -14 + -7y = 28 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -14 + -7y + -6y = 28 + 6y + -6y Combine like terms: -7y + -6y = -13y -14 + -13y = 28 + 6y + -6y Combine like terms: 6y + -6y = 0 -14 + -13y = 28 + 0 -14 + -13y = 28 Add '14' to each side of the equation. -14 + 14 + -13y = 28 + 14 Combine like terms: -14 + 14 = 0 0 + -13y = 28 + 14 -13y = 28 + 14 Combine like terms: 28 + 14 = 42 -13y = 42 Divide each side by '-13'. y = -3.230769231 Simplifying y = -3.230769231
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