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Simplifying 2(7 + 3y) = 16 + -4(5y + 7) (7 * 2 + 3y * 2) = 16 + -4(5y + 7) (14 + 6y) = 16 + -4(5y + 7) Reorder the terms: 14 + 6y = 16 + -4(7 + 5y) 14 + 6y = 16 + (7 * -4 + 5y * -4) 14 + 6y = 16 + (-28 + -20y) Combine like terms: 16 + -28 = -12 14 + 6y = -12 + -20y Solving 14 + 6y = -12 + -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. 14 + 6y + 20y = -12 + -20y + 20y Combine like terms: 6y + 20y = 26y 14 + 26y = -12 + -20y + 20y Combine like terms: -20y + 20y = 0 14 + 26y = -12 + 0 14 + 26y = -12 Add '-14' to each side of the equation. 14 + -14 + 26y = -12 + -14 Combine like terms: 14 + -14 = 0 0 + 26y = -12 + -14 26y = -12 + -14 Combine like terms: -12 + -14 = -26 26y = -26 Divide each side by '26'. y = -1 Simplifying y = -1
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