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Simplifying 2(3y + 7) = -4(3 + -2y) Reorder the terms: 2(7 + 3y) = -4(3 + -2y) (7 * 2 + 3y * 2) = -4(3 + -2y) (14 + 6y) = -4(3 + -2y) 14 + 6y = (3 * -4 + -2y * -4) 14 + 6y = (-12 + 8y) Solving 14 + 6y = -12 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 14 + 6y + -8y = -12 + 8y + -8y Combine like terms: 6y + -8y = -2y 14 + -2y = -12 + 8y + -8y Combine like terms: 8y + -8y = 0 14 + -2y = -12 + 0 14 + -2y = -12 Add '-14' to each side of the equation. 14 + -14 + -2y = -12 + -14 Combine like terms: 14 + -14 = 0 0 + -2y = -12 + -14 -2y = -12 + -14 Combine like terms: -12 + -14 = -26 -2y = -26 Divide each side by '-2'. y = 13 Simplifying y = 13
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