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Simplifying y + -5 + 3(2y + 3) = -7(y + 2) Reorder the terms: y + -5 + 3(3 + 2y) = -7(y + 2) y + -5 + (3 * 3 + 2y * 3) = -7(y + 2) y + -5 + (9 + 6y) = -7(y + 2) Reorder the terms: -5 + 9 + y + 6y = -7(y + 2) Combine like terms: -5 + 9 = 4 4 + y + 6y = -7(y + 2) Combine like terms: y + 6y = 7y 4 + 7y = -7(y + 2) Reorder the terms: 4 + 7y = -7(2 + y) 4 + 7y = (2 * -7 + y * -7) 4 + 7y = (-14 + -7y) Solving 4 + 7y = -14 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 4 + 7y + 7y = -14 + -7y + 7y Combine like terms: 7y + 7y = 14y 4 + 14y = -14 + -7y + 7y Combine like terms: -7y + 7y = 0 4 + 14y = -14 + 0 4 + 14y = -14 Add '-4' to each side of the equation. 4 + -4 + 14y = -14 + -4 Combine like terms: 4 + -4 = 0 0 + 14y = -14 + -4 14y = -14 + -4 Combine like terms: -14 + -4 = -18 14y = -18 Divide each side by '14'. y = -1.285714286 Simplifying y = -1.285714286
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