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Simplifying 3(y + 2) = -4(5y + 7) Reorder the terms: 3(2 + y) = -4(5y + 7) (2 * 3 + y * 3) = -4(5y + 7) (6 + 3y) = -4(5y + 7) Reorder the terms: 6 + 3y = -4(7 + 5y) 6 + 3y = (7 * -4 + 5y * -4) 6 + 3y = (-28 + -20y) Solving 6 + 3y = -28 + -20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '20y' to each side of the equation. 6 + 3y + 20y = -28 + -20y + 20y Combine like terms: 3y + 20y = 23y 6 + 23y = -28 + -20y + 20y Combine like terms: -20y + 20y = 0 6 + 23y = -28 + 0 6 + 23y = -28 Add '-6' to each side of the equation. 6 + -6 + 23y = -28 + -6 Combine like terms: 6 + -6 = 0 0 + 23y = -28 + -6 23y = -28 + -6 Combine like terms: -28 + -6 = -34 23y = -34 Divide each side by '23'. y = -1.47826087 Simplifying y = -1.47826087
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